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Finding the Fourth Proportional to 75,076.40, 112,549.80 and 38,140.40

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Solution

The fourth proportional to 75,076.40, 112,549.80 and 38,140.40 is: 57,177.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,076.40 : 112,549.80 = 38,140.40 : x
  2. Step 2: Convert to fraction form
    75,076.40/112,549.80 = 38,140.40/x
  3. Step 3: Cross multiply
    75,076.40x = 112,549.80 × 38,140.40
  4. Step 4: Simplify right side
    75,076.40x = 4,292,694,391.92
  5. Step 5: Solve for x
    x = 4,292,694,391.92/75,076.40
  6. Step 6: Final answer
    x = 57,177.68

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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.