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Finding the Fourth Proportional to 57,810.60, 86,543.10 and 51,589.80

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Solution

The fourth proportional to 57,810.60, 86,543.10 and 51,589.80 is: 77,230.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,810.60 : 86,543.10 = 51,589.80 : x
  2. Step 2: Convert to fraction form
    57,810.60/86,543.10 = 51,589.80/x
  3. Step 3: Cross multiply
    57,810.60x = 86,543.10 × 51,589.80
  4. Step 4: Simplify right side
    57,810.60x = 4,464,741,220.38
  5. Step 5: Solve for x
    x = 4,464,741,220.38/57,810.60
  6. Step 6: Final answer
    x = 77,230.49

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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.