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Finding the Fourth Proportional to 57,781.20, 86,590.80 and 45,955.20

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Solution

The fourth proportional to 57,781.20, 86,590.80 and 45,955.20 is: 68,868.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,781.20 : 86,590.80 = 45,955.20 : x
  2. Step 2: Convert to fraction form
    57,781.20/86,590.80 = 45,955.20/x
  3. Step 3: Cross multiply
    57,781.20x = 86,590.80 × 45,955.20
  4. Step 4: Simplify right side
    57,781.20x = 3,979,297,532.16
  5. Step 5: Solve for x
    x = 3,979,297,532.16/57,781.20
  6. Step 6: Final answer
    x = 68,868.38

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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.