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Finding the Fourth Proportional to 92,406.56, 138,626.92 and 29,242.60

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Solution

The fourth proportional to 92,406.56, 138,626.92 and 29,242.60 is: 43,869.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,406.56 : 138,626.92 = 29,242.60 : x
  2. Step 2: Convert to fraction form
    92,406.56/138,626.92 = 29,242.60/x
  3. Step 3: Cross multiply
    92,406.56x = 138,626.92 × 29,242.60
  4. Step 4: Simplify right side
    92,406.56x = 4,053,811,570.79
  5. Step 5: Solve for x
    x = 4,053,811,570.79/92,406.56
  6. Step 6: Final answer
    x = 43,869.31

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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.