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Finding the Fourth Proportional to 57,842.92, 86,763.18 and 18,400.12

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Solution

The fourth proportional to 57,842.92, 86,763.18 and 18,400.12 is: 27,599.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,842.92 : 86,763.18 = 18,400.12 : x
  2. Step 2: Convert to fraction form
    57,842.92/86,763.18 = 18,400.12/x
  3. Step 3: Cross multiply
    57,842.92x = 86,763.18 × 18,400.12
  4. Step 4: Simplify right side
    57,842.92x = 1,596,452,923.58
  5. Step 5: Solve for x
    x = 1,596,452,923.58/57,842.92
  6. Step 6: Final answer
    x = 27,599.80

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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.