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Finding the Fourth Proportional to 83,181, 124,772.46 and 24,017.32

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Solution

The fourth proportional to 83,181, 124,772.46 and 24,017.32 is: 36,026.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,181 : 124,772.46 = 24,017.32 : x
  2. Step 2: Convert to fraction form
    83,181/124,772.46 = 24,017.32/x
  3. Step 3: Cross multiply
    83,181x = 124,772.46 × 24,017.32
  4. Step 4: Simplify right side
    83,181x = 2,996,700,099.01
  5. Step 5: Solve for x
    x = 2,996,700,099.01/83,181
  6. Step 6: Final answer
    x = 36,026.26

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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.