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Finding the Fourth Proportional to 57,780.75, 86,668.29 and 22,259.01

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Solution

The fourth proportional to 57,780.75, 86,668.29 and 22,259.01 is: 33,387.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,780.75 : 86,668.29 = 22,259.01 : x
  2. Step 2: Convert to fraction form
    57,780.75/86,668.29 = 22,259.01/x
  3. Step 3: Cross multiply
    57,780.75x = 86,668.29 × 22,259.01
  4. Step 4: Simplify right side
    57,780.75x = 1,929,150,333.79
  5. Step 5: Solve for x
    x = 1,929,150,333.79/57,780.75
  6. Step 6: Final answer
    x = 33,387.42

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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.