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Finding the Fourth Proportional to 30,677, 46,026.30 and 15,105.56

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Solution

The fourth proportional to 30,677, 46,026.30 and 15,105.56 is: 22,663.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,677 : 46,026.30 = 15,105.56 : x
  2. Step 2: Convert to fraction form
    30,677/46,026.30 = 15,105.56/x
  3. Step 3: Cross multiply
    30,677x = 46,026.30 × 15,105.56
  4. Step 4: Simplify right side
    30,677x = 695,253,036.23
  5. Step 5: Solve for x
    x = 695,253,036.23/30,677
  6. Step 6: Final answer
    x = 22,663.66

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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.