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Finding the Fourth Proportional to 65,212.29, 89,994.14 and 36,531.71

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Solution

The fourth proportional to 65,212.29, 89,994.14 and 36,531.71 is: 50,414.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,212.29 : 89,994.14 = 36,531.71 : x
  2. Step 2: Convert to fraction form
    65,212.29/89,994.14 = 36,531.71/x
  3. Step 3: Cross multiply
    65,212.29x = 89,994.14 × 36,531.71
  4. Step 4: Simplify right side
    65,212.29x = 3,287,639,666.02
  5. Step 5: Solve for x
    x = 3,287,639,666.02/65,212.29
  6. Step 6: Final answer
    x = 50,414.42

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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.