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Finding the Fourth Proportional to 42,294.59, 63,447.37 and 14,202.57

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Solution

The fourth proportional to 42,294.59, 63,447.37 and 14,202.57 is: 21,305.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,294.59 : 63,447.37 = 14,202.57 : x
  2. Step 2: Convert to fraction form
    42,294.59/63,447.37 = 14,202.57/x
  3. Step 3: Cross multiply
    42,294.59x = 63,447.37 × 14,202.57
  4. Step 4: Simplify right side
    42,294.59x = 901,115,916.16
  5. Step 5: Solve for x
    x = 901,115,916.16/42,294.59
  6. Step 6: Final answer
    x = 21,305.70

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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.