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Finding the Fourth Proportional to 98,865.60, 148,314.56 and 32,286.40

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Solution

The fourth proportional to 98,865.60, 148,314.56 and 32,286.40 is: 48,434.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,865.60 : 148,314.56 = 32,286.40 : x
  2. Step 2: Convert to fraction form
    98,865.60/148,314.56 = 32,286.40/x
  3. Step 3: Cross multiply
    98,865.60x = 148,314.56 × 32,286.40
  4. Step 4: Simplify right side
    98,865.60x = 4,788,543,209.98
  5. Step 5: Solve for x
    x = 4,788,543,209.98/98,865.60
  6. Step 6: Final answer
    x = 48,434.88

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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.