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Finding the Fourth Proportional to 98,572.65, 147,842.82 and 27,500.10

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Solution

The fourth proportional to 98,572.65, 147,842.82 and 27,500.10 is: 41,245.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,572.65 : 147,842.82 = 27,500.10 : x
  2. Step 2: Convert to fraction form
    98,572.65/147,842.82 = 27,500.10/x
  3. Step 3: Cross multiply
    98,572.65x = 147,842.82 × 27,500.10
  4. Step 4: Simplify right side
    98,572.65x = 4,065,692,334.28
  5. Step 5: Solve for x
    x = 4,065,692,334.28/98,572.65
  6. Step 6: Final answer
    x = 41,245.64

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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.