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Finding the Fourth Proportional to 57,144.23, 85,641.82 and 31,842.68

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Solution

The fourth proportional to 57,144.23, 85,641.82 and 31,842.68 is: 47,722.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,144.23 : 85,641.82 = 31,842.68 : x
  2. Step 2: Convert to fraction form
    57,144.23/85,641.82 = 31,842.68/x
  3. Step 3: Cross multiply
    57,144.23x = 85,641.82 × 31,842.68
  4. Step 4: Simplify right side
    57,144.23x = 2,727,065,001.63
  5. Step 5: Solve for x
    x = 2,727,065,001.63/57,144.23
  6. Step 6: Final answer
    x = 47,722.50

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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.