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Finding the Fourth Proportional to 65,101.74, 89,839.62 and 38,246.70

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Solution

The fourth proportional to 65,101.74, 89,839.62 and 38,246.70 is: 52,779.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,101.74 : 89,839.62 = 38,246.70 : x
  2. Step 2: Convert to fraction form
    65,101.74/89,839.62 = 38,246.70/x
  3. Step 3: Cross multiply
    65,101.74x = 89,839.62 × 38,246.70
  4. Step 4: Simplify right side
    65,101.74x = 3,436,068,994.25
  5. Step 5: Solve for x
    x = 3,436,068,994.25/65,101.74
  6. Step 6: Final answer
    x = 52,779.99

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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.