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Finding the Fourth Proportional to 99,541.80, 149,261.92 and 32,957.90

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Solution

The fourth proportional to 99,541.80, 149,261.92 and 32,957.90 is: 49,420.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,541.80 : 149,261.92 = 32,957.90 : x
  2. Step 2: Convert to fraction form
    99,541.80/149,261.92 = 32,957.90/x
  3. Step 3: Cross multiply
    99,541.80x = 149,261.92 × 32,957.90
  4. Step 4: Simplify right side
    99,541.80x = 4,919,359,433.17
  5. Step 5: Solve for x
    x = 4,919,359,433.17/99,541.80
  6. Step 6: Final answer
    x = 49,420.04

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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.