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Finding the Fourth Proportional to 42,054.40, 62,966.40 and 32,838.40

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Solution

The fourth proportional to 42,054.40, 62,966.40 and 32,838.40 is: 49,167.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,054.40 : 62,966.40 = 32,838.40 : x
  2. Step 2: Convert to fraction form
    42,054.40/62,966.40 = 32,838.40/x
  3. Step 3: Cross multiply
    42,054.40x = 62,966.40 × 32,838.40
  4. Step 4: Simplify right side
    42,054.40x = 2,067,715,829.76
  5. Step 5: Solve for x
    x = 2,067,715,829.76/42,054.40
  6. Step 6: Final answer
    x = 49,167.65

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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.