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Finding the Fourth Proportional to 30,894,141.40, 46,341,212.10 and 29,476,965.40

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Solution

The fourth proportional to 30,894,141.40, 46,341,212.10 and 29,476,965.40 is: 44,215,448.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,894,141.40 : 46,341,212.10 = 29,476,965.40 : x
  2. Step 2: Convert to fraction form
    30,894,141.40/46,341,212.10 = 29,476,965.40/x
  3. Step 3: Cross multiply
    30,894,141.40x = 46,341,212.10 × 29,476,965.40
  4. Step 4: Simplify right side
    30,894,141.40x = 1,365,998,305,665,761.25
  5. Step 5: Solve for x
    x = 1,365,998,305,665,761.25/30,894,141.40
  6. Step 6: Final answer
    x = 44,215,448.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.