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Finding the Fourth Proportional to 57,849, 86,740.29 and 22,769.52

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Solution

The fourth proportional to 57,849, 86,740.29 and 22,769.52 is: 34,141.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,849 : 86,740.29 = 22,769.52 : x
  2. Step 2: Convert to fraction form
    57,849/86,740.29 = 22,769.52/x
  3. Step 3: Cross multiply
    57,849x = 86,740.29 × 22,769.52
  4. Step 4: Simplify right side
    57,849x = 1,975,034,767.96
  5. Step 5: Solve for x
    x = 1,975,034,767.96/57,849
  6. Step 6: Final answer
    x = 34,141.21

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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.