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Finding the Fourth Proportional to 69,513.60, 95,929.26 and 37,683

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Solution

The fourth proportional to 69,513.60, 95,929.26 and 37,683 is: 52,002.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,513.60 : 95,929.26 = 37,683 : x
  2. Step 2: Convert to fraction form
    69,513.60/95,929.26 = 37,683/x
  3. Step 3: Cross multiply
    69,513.60x = 95,929.26 × 37,683
  4. Step 4: Simplify right side
    69,513.60x = 3,614,902,304.58
  5. Step 5: Solve for x
    x = 3,614,902,304.58/69,513.60
  6. Step 6: Final answer
    x = 52,002.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.