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Finding the Fourth Proportional to 111,327.60, 166,991.40 and 32,448

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Solution

The fourth proportional to 111,327.60, 166,991.40 and 32,448 is: 48,672.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,327.60 : 166,991.40 = 32,448 : x
  2. Step 2: Convert to fraction form
    111,327.60/166,991.40 = 32,448/x
  3. Step 3: Cross multiply
    111,327.60x = 166,991.40 × 32,448
  4. Step 4: Simplify right side
    111,327.60x = 5,418,536,947.20
  5. Step 5: Solve for x
    x = 5,418,536,947.20/111,327.60
  6. Step 6: Final answer
    x = 48,672.00

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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.