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Finding the Fourth Proportional to 65,046.40, 97,569.60 and 38,780.80

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Solution

The fourth proportional to 65,046.40, 97,569.60 and 38,780.80 is: 58,171.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,046.40 : 97,569.60 = 38,780.80 : x
  2. Step 2: Convert to fraction form
    65,046.40/97,569.60 = 38,780.80/x
  3. Step 3: Cross multiply
    65,046.40x = 97,569.60 × 38,780.80
  4. Step 4: Simplify right side
    65,046.40x = 3,783,827,143.68
  5. Step 5: Solve for x
    x = 3,783,827,143.68/65,046.40
  6. Step 6: Final answer
    x = 58,171.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.