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Finding the Fourth Proportional to 65,072.64, 89,800.92 and 38,215.47

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Solution

The fourth proportional to 65,072.64, 89,800.92 and 38,215.47 is: 52,737.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,072.64 : 89,800.92 = 38,215.47 : x
  2. Step 2: Convert to fraction form
    65,072.64/89,800.92 = 38,215.47/x
  3. Step 3: Cross multiply
    65,072.64x = 89,800.92 × 38,215.47
  4. Step 4: Simplify right side
    65,072.64x = 3,431,784,364.23
  5. Step 5: Solve for x
    x = 3,431,784,364.23/65,072.64
  6. Step 6: Final answer
    x = 52,737.75

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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.