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Finding the Fourth Proportional to 89,882.50, 134,823.75 and 24,218.50

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Solution

The fourth proportional to 89,882.50, 134,823.75 and 24,218.50 is: 36,327.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,882.50 : 134,823.75 = 24,218.50 : x
  2. Step 2: Convert to fraction form
    89,882.50/134,823.75 = 24,218.50/x
  3. Step 3: Cross multiply
    89,882.50x = 134,823.75 × 24,218.50
  4. Step 4: Simplify right side
    89,882.50x = 3,265,228,989.38
  5. Step 5: Solve for x
    x = 3,265,228,989.38/89,882.50
  6. Step 6: Final answer
    x = 36,327.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.