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Finding the Fourth Proportional to 65,342.32, 90,168.80 and 38,478.72

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Solution

The fourth proportional to 65,342.32, 90,168.80 and 38,478.72 is: 53,098.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,342.32 : 90,168.80 = 38,478.72 : x
  2. Step 2: Convert to fraction form
    65,342.32/90,168.80 = 38,478.72/x
  3. Step 3: Cross multiply
    65,342.32x = 90,168.80 × 38,478.72
  4. Step 4: Simplify right side
    65,342.32x = 3,469,580,007.94
  5. Step 5: Solve for x
    x = 3,469,580,007.94/65,342.32
  6. Step 6: Final answer
    x = 53,098.51

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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.