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Finding the Fourth Proportional to 65,034.32, 89,747.33 and 38,176.82

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Solution

The fourth proportional to 65,034.32, 89,747.33 and 38,176.82 is: 52,683.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,034.32 : 89,747.33 = 38,176.82 : x
  2. Step 2: Convert to fraction form
    65,034.32/89,747.33 = 38,176.82/x
  3. Step 3: Cross multiply
    65,034.32x = 89,747.33 × 38,176.82
  4. Step 4: Simplify right side
    65,034.32x = 3,426,267,309.60
  5. Step 5: Solve for x
    x = 3,426,267,309.60/65,034.32
  6. Step 6: Final answer
    x = 52,683.99

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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.