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Finding the Fourth Proportional to 98,321.50, 147,531.48 and 45,013.38

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Solution

The fourth proportional to 98,321.50, 147,531.48 and 45,013.38 is: 67,542.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,321.50 : 147,531.48 = 45,013.38 : x
  2. Step 2: Convert to fraction form
    98,321.50/147,531.48 = 45,013.38/x
  3. Step 3: Cross multiply
    98,321.50x = 147,531.48 × 45,013.38
  4. Step 4: Simplify right side
    98,321.50x = 6,640,889,849.16
  5. Step 5: Solve for x
    x = 6,640,889,849.16/98,321.50
  6. Step 6: Final answer
    x = 67,542.60

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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.