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Finding the Fourth Proportional to 57,535.95, 86,312.43 and 29,471.88

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Solution

The fourth proportional to 57,535.95, 86,312.43 and 29,471.88 is: 44,212.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,535.95 : 86,312.43 = 29,471.88 : x
  2. Step 2: Convert to fraction form
    57,535.95/86,312.43 = 29,471.88/x
  3. Step 3: Cross multiply
    57,535.95x = 86,312.43 × 29,471.88
  4. Step 4: Simplify right side
    57,535.95x = 2,543,789,579.47
  5. Step 5: Solve for x
    x = 2,543,789,579.47/57,535.95
  6. Step 6: Final answer
    x = 44,212.18

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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.