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Finding the Fourth Proportional to 57,609.84, 86,385.24 and 26,418

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Solution

The fourth proportional to 57,609.84, 86,385.24 and 26,418 is: 39,613.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,609.84 : 86,385.24 = 26,418 : x
  2. Step 2: Convert to fraction form
    57,609.84/86,385.24 = 26,418/x
  3. Step 3: Cross multiply
    57,609.84x = 86,385.24 × 26,418
  4. Step 4: Simplify right side
    57,609.84x = 2,282,125,270.32
  5. Step 5: Solve for x
    x = 2,282,125,270.32/57,609.84
  6. Step 6: Final answer
    x = 39,613.46

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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.