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Finding the Fourth Proportional to 98,713.70, 148,034.10 and 48,777.20

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Solution

The fourth proportional to 98,713.70, 148,034.10 and 48,777.20 is: 73,147.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,713.70 : 148,034.10 = 48,777.20 : x
  2. Step 2: Convert to fraction form
    98,713.70/148,034.10 = 48,777.20/x
  3. Step 3: Cross multiply
    98,713.70x = 148,034.10 × 48,777.20
  4. Step 4: Simplify right side
    98,713.70x = 7,220,688,902.52
  5. Step 5: Solve for x
    x = 7,220,688,902.52/98,713.70
  6. Step 6: Final answer
    x = 73,147.79

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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.