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Finding the Fourth Proportional to 92,227.72, 138,319.44 and 42,276.64

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Solution

The fourth proportional to 92,227.72, 138,319.44 and 42,276.64 is: 63,404.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,227.72 : 138,319.44 = 42,276.64 : x
  2. Step 2: Convert to fraction form
    92,227.72/138,319.44 = 42,276.64/x
  3. Step 3: Cross multiply
    92,227.72x = 138,319.44 × 42,276.64
  4. Step 4: Simplify right side
    92,227.72x = 5,847,681,169.88
  5. Step 5: Solve for x
    x = 5,847,681,169.88/92,227.72
  6. Step 6: Final answer
    x = 63,404.81

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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.