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Finding the Fourth Proportional to 92,238.44, 138,349.02 and 29,909.48

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Solution

The fourth proportional to 92,238.44, 138,349.02 and 29,909.48 is: 44,861.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,238.44 : 138,349.02 = 29,909.48 : x
  2. Step 2: Convert to fraction form
    92,238.44/138,349.02 = 29,909.48/x
  3. Step 3: Cross multiply
    92,238.44x = 138,349.02 × 29,909.48
  4. Step 4: Simplify right side
    92,238.44x = 4,137,947,246.71
  5. Step 5: Solve for x
    x = 4,137,947,246.71/92,238.44
  6. Step 6: Final answer
    x = 44,861.42

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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.