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Finding the Fourth Proportional to 65,314.42, 90,152.52 and 38,472.40

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Solution

The fourth proportional to 65,314.42, 90,152.52 and 38,472.40 is: 53,102.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,314.42 : 90,152.52 = 38,472.40 : x
  2. Step 2: Convert to fraction form
    65,314.42/90,152.52 = 38,472.40/x
  3. Step 3: Cross multiply
    65,314.42x = 90,152.52 × 38,472.40
  4. Step 4: Simplify right side
    65,314.42x = 3,468,383,810.45
  5. Step 5: Solve for x
    x = 3,468,383,810.45/65,314.42
  6. Step 6: Final answer
    x = 53,102.88

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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.