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Finding the Fourth Proportional to 65,102.39, 89,843.85 and 38,244.66

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Solution

The fourth proportional to 65,102.39, 89,843.85 and 38,244.66 is: 52,779.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,102.39 : 89,843.85 = 38,244.66 : x
  2. Step 2: Convert to fraction form
    65,102.39/89,843.85 = 38,244.66/x
  3. Step 3: Cross multiply
    65,102.39x = 89,843.85 × 38,244.66
  4. Step 4: Simplify right side
    65,102.39x = 3,436,047,496.34
  5. Step 5: Solve for x
    x = 3,436,047,496.34/65,102.39
  6. Step 6: Final answer
    x = 52,779.13

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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.