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Finding the Fourth Proportional to 99,169.32, 148,758.76 and 32,607.97

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Solution

The fourth proportional to 99,169.32, 148,758.76 and 32,607.97 is: 48,913.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,169.32 : 148,758.76 = 32,607.97 : x
  2. Step 2: Convert to fraction form
    99,169.32/148,758.76 = 32,607.97/x
  3. Step 3: Cross multiply
    99,169.32x = 148,758.76 × 32,607.97
  4. Step 4: Simplify right side
    99,169.32x = 4,850,721,071.23
  5. Step 5: Solve for x
    x = 4,850,721,071.23/99,169.32
  6. Step 6: Final answer
    x = 48,913.53

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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.