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Finding the Fourth Proportional to 42,624.30, 63,934.14 and 13,042.14

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Solution

The fourth proportional to 42,624.30, 63,934.14 and 13,042.14 is: 19,562.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,624.30 : 63,934.14 = 13,042.14 : x
  2. Step 2: Convert to fraction form
    42,624.30/63,934.14 = 13,042.14/x
  3. Step 3: Cross multiply
    42,624.30x = 63,934.14 × 13,042.14
  4. Step 4: Simplify right side
    42,624.30x = 833,838,004.66
  5. Step 5: Solve for x
    x = 833,838,004.66/42,624.30
  6. Step 6: Final answer
    x = 19,562.50

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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.