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Finding the Fourth Proportional to 83,767.57, 125,692.36 and 39,398.81

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Solution

The fourth proportional to 83,767.57, 125,692.36 and 39,398.81 is: 59,117.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,767.57 : 125,692.36 = 39,398.81 : x
  2. Step 2: Convert to fraction form
    83,767.57/125,692.36 = 39,398.81/x
  3. Step 3: Cross multiply
    83,767.57x = 125,692.36 × 39,398.81
  4. Step 4: Simplify right side
    83,767.57x = 4,952,128,683.13
  5. Step 5: Solve for x
    x = 4,952,128,683.13/83,767.57
  6. Step 6: Final answer
    x = 59,117.49

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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.