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Finding the Fourth Proportional to 41,154.18, 61,731.03 and 9,989.22

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Solution

The fourth proportional to 41,154.18, 61,731.03 and 9,989.22 is: 14,983.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,154.18 : 61,731.03 = 9,989.22 : x
  2. Step 2: Convert to fraction form
    41,154.18/61,731.03 = 9,989.22/x
  3. Step 3: Cross multiply
    41,154.18x = 61,731.03 × 9,989.22
  4. Step 4: Simplify right side
    41,154.18x = 616,644,839.50
  5. Step 5: Solve for x
    x = 616,644,839.50/41,154.18
  6. Step 6: Final answer
    x = 14,983.77

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Why These Related Problems?

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