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Finding the Fourth Proportional to 98,576.80, 147,962.40 and 48,713.20

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Solution

The fourth proportional to 98,576.80, 147,962.40 and 48,713.20 is: 73,117.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,576.80 : 147,962.40 = 48,713.20 : x
  2. Step 2: Convert to fraction form
    98,576.80/147,962.40 = 48,713.20/x
  3. Step 3: Cross multiply
    98,576.80x = 147,962.40 × 48,713.20
  4. Step 4: Simplify right side
    98,576.80x = 7,207,721,983.68
  5. Step 5: Solve for x
    x = 7,207,721,983.68/98,576.80
  6. Step 6: Final answer
    x = 73,117.83

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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.