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Finding the Fourth Proportional to 98,751.56, 148,142.70 and 32,176.20

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Solution

The fourth proportional to 98,751.56, 148,142.70 and 32,176.20 is: 48,269.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,751.56 : 148,142.70 = 32,176.20 : x
  2. Step 2: Convert to fraction form
    98,751.56/148,142.70 = 32,176.20/x
  3. Step 3: Cross multiply
    98,751.56x = 148,142.70 × 32,176.20
  4. Step 4: Simplify right side
    98,751.56x = 4,766,669,143.74
  5. Step 5: Solve for x
    x = 4,766,669,143.74/98,751.56
  6. Step 6: Final answer
    x = 48,269.30

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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.