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Finding the Fourth Proportional to 57,459.93, 86,269.86 and 29,399.36

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Solution

The fourth proportional to 57,459.93, 86,269.86 and 29,399.36 is: 44,139.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,459.93 : 86,269.86 = 29,399.36 : x
  2. Step 2: Convert to fraction form
    57,459.93/86,269.86 = 29,399.36/x
  3. Step 3: Cross multiply
    57,459.93x = 86,269.86 × 29,399.36
  4. Step 4: Simplify right side
    57,459.93x = 2,536,278,239.94
  5. Step 5: Solve for x
    x = 2,536,278,239.94/57,459.93
  6. Step 6: Final answer
    x = 44,139.95

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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.