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Finding the Fourth Proportional to 39,781.60, 59,667.94 and 10,200.13

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Solution

The fourth proportional to 39,781.60, 59,667.94 and 10,200.13 is: 15,299.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,781.60 : 59,667.94 = 10,200.13 : x
  2. Step 2: Convert to fraction form
    39,781.60/59,667.94 = 10,200.13/x
  3. Step 3: Cross multiply
    39,781.60x = 59,667.94 × 10,200.13
  4. Step 4: Simplify right side
    39,781.60x = 608,620,693.83
  5. Step 5: Solve for x
    x = 608,620,693.83/39,781.60
  6. Step 6: Final answer
    x = 15,299.05

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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.