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Finding the Fourth Proportional to 48,687.57, 67,189.14 and 29,824.70

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Solution

The fourth proportional to 48,687.57, 67,189.14 and 29,824.70 is: 41,158.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,687.57 : 67,189.14 = 29,824.70 : x
  2. Step 2: Convert to fraction form
    48,687.57/67,189.14 = 29,824.70/x
  3. Step 3: Cross multiply
    48,687.57x = 67,189.14 × 29,824.70
  4. Step 4: Simplify right side
    48,687.57x = 2,003,895,607.81
  5. Step 5: Solve for x
    x = 2,003,895,607.81/48,687.57
  6. Step 6: Final answer
    x = 41,158.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.