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Finding the Fourth Proportional to 57,876.34, 86,817.91 and 22,337.86

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Solution

The fourth proportional to 57,876.34, 86,817.91 and 22,337.86 is: 33,508.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,876.34 : 86,817.91 = 22,337.86 : x
  2. Step 2: Convert to fraction form
    57,876.34/86,817.91 = 22,337.86/x
  3. Step 3: Cross multiply
    57,876.34x = 86,817.91 × 22,337.86
  4. Step 4: Simplify right side
    57,876.34x = 1,939,326,319.07
  5. Step 5: Solve for x
    x = 1,939,326,319.07/57,876.34
  6. Step 6: Final answer
    x = 33,508.10

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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.