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Finding the Fourth Proportional to 57,743.72, 86,446.62 and 52,209.80

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Solution

The fourth proportional to 57,743.72, 86,446.62 and 52,209.80 is: 78,161.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,743.72 : 86,446.62 = 52,209.80 : x
  2. Step 2: Convert to fraction form
    57,743.72/86,446.62 = 52,209.80/x
  3. Step 3: Cross multiply
    57,743.72x = 86,446.62 × 52,209.80
  4. Step 4: Simplify right side
    57,743.72x = 4,513,360,740.88
  5. Step 5: Solve for x
    x = 4,513,360,740.88/57,743.72
  6. Step 6: Final answer
    x = 78,161.93

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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.