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Finding the Fourth Proportional to 29,123.40, 43,648.50 and 12,463.86

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Solution

The fourth proportional to 29,123.40, 43,648.50 and 12,463.86 is: 18,680.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,123.40 : 43,648.50 = 12,463.86 : x
  2. Step 2: Convert to fraction form
    29,123.40/43,648.50 = 12,463.86/x
  3. Step 3: Cross multiply
    29,123.40x = 43,648.50 × 12,463.86
  4. Step 4: Simplify right side
    29,123.40x = 544,028,793.21
  5. Step 5: Solve for x
    x = 544,028,793.21/29,123.40
  6. Step 6: Final answer
    x = 18,680.13

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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.