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Finding the Fourth Proportional to 84,327.60, 126,475.20 and 25,165.20

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Solution

The fourth proportional to 84,327.60, 126,475.20 and 25,165.20 is: 37,742.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,327.60 : 126,475.20 = 25,165.20 : x
  2. Step 2: Convert to fraction form
    84,327.60/126,475.20 = 25,165.20/x
  3. Step 3: Cross multiply
    84,327.60x = 126,475.20 × 25,165.20
  4. Step 4: Simplify right side
    84,327.60x = 3,182,773,703.04
  5. Step 5: Solve for x
    x = 3,182,773,703.04/84,327.60
  6. Step 6: Final answer
    x = 37,742.97

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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.