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Finding the Fourth Proportional to 57,878.92, 86,829.18 and 26,291.20

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Solution

The fourth proportional to 57,878.92, 86,829.18 and 26,291.20 is: 39,441.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,878.92 : 86,829.18 = 26,291.20 : x
  2. Step 2: Convert to fraction form
    57,878.92/86,829.18 = 26,291.20/x
  3. Step 3: Cross multiply
    57,878.92x = 86,829.18 × 26,291.20
  4. Step 4: Simplify right side
    57,878.92x = 2,282,843,337.22
  5. Step 5: Solve for x
    x = 2,282,843,337.22/57,878.92
  6. Step 6: Final answer
    x = 39,441.71

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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.