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Finding the Fourth Proportional to 98,610.75, 147,842.28 and 32,011.11

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Solution

The fourth proportional to 98,610.75, 147,842.28 and 32,011.11 is: 47,992.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,610.75 : 147,842.28 = 32,011.11 : x
  2. Step 2: Convert to fraction form
    98,610.75/147,842.28 = 32,011.11/x
  3. Step 3: Cross multiply
    98,610.75x = 147,842.28 × 32,011.11
  4. Step 4: Simplify right side
    98,610.75x = 4,732,595,487.73
  5. Step 5: Solve for x
    x = 4,732,595,487.73/98,610.75
  6. Step 6: Final answer
    x = 47,992.69

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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.