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Finding the Fourth Proportional to 57,400.89, 86,123.18 and 51,834.98

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Solution

The fourth proportional to 57,400.89, 86,123.18 and 51,834.98 is: 77,772.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,400.89 : 86,123.18 = 51,834.98 : x
  2. Step 2: Convert to fraction form
    57,400.89/86,123.18 = 51,834.98/x
  3. Step 3: Cross multiply
    57,400.89x = 86,123.18 × 51,834.98
  4. Step 4: Simplify right side
    57,400.89x = 4,464,193,011.81
  5. Step 5: Solve for x
    x = 4,464,193,011.81/57,400.89
  6. Step 6: Final answer
    x = 77,772.19

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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.