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Finding the Fourth Proportional to 65,118.09, 89,834.47 and 38,248.50

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Solution

The fourth proportional to 65,118.09, 89,834.47 and 38,248.50 is: 52,766.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,118.09 : 89,834.47 = 38,248.50 : x
  2. Step 2: Convert to fraction form
    65,118.09/89,834.47 = 38,248.50/x
  3. Step 3: Cross multiply
    65,118.09x = 89,834.47 × 38,248.50
  4. Step 4: Simplify right side
    65,118.09x = 3,436,033,967.05
  5. Step 5: Solve for x
    x = 3,436,033,967.05/65,118.09
  6. Step 6: Final answer
    x = 52,766.19

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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.