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Finding the Fourth Proportional to 57,764.80, 86,647.20 and 31,520.80

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Solution

The fourth proportional to 57,764.80, 86,647.20 and 31,520.80 is: 47,281.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,764.80 : 86,647.20 = 31,520.80 : x
  2. Step 2: Convert to fraction form
    57,764.80/86,647.20 = 31,520.80/x
  3. Step 3: Cross multiply
    57,764.80x = 86,647.20 × 31,520.80
  4. Step 4: Simplify right side
    57,764.80x = 2,731,189,061.76
  5. Step 5: Solve for x
    x = 2,731,189,061.76/57,764.80
  6. Step 6: Final answer
    x = 47,281.20

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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.