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Finding the Fourth Proportional to 42,013.40, 63,020.10 and 38,125.40

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Solution

The fourth proportional to 42,013.40, 63,020.10 and 38,125.40 is: 57,188.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,013.40 : 63,020.10 = 38,125.40 : x
  2. Step 2: Convert to fraction form
    42,013.40/63,020.10 = 38,125.40/x
  3. Step 3: Cross multiply
    42,013.40x = 63,020.10 × 38,125.40
  4. Step 4: Simplify right side
    42,013.40x = 2,402,666,520.54
  5. Step 5: Solve for x
    x = 2,402,666,520.54/42,013.40
  6. Step 6: Final answer
    x = 57,188.10

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