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Finding the Fourth Proportional to 71,149, 98,071.50 and 48,171.52

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Solution

The fourth proportional to 71,149, 98,071.50 and 48,171.52 is: 66,399.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,149 : 98,071.50 = 48,171.52 : x
  2. Step 2: Convert to fraction form
    71,149/98,071.50 = 48,171.52/x
  3. Step 3: Cross multiply
    71,149x = 98,071.50 × 48,171.52
  4. Step 4: Simplify right side
    71,149x = 4,724,253,223.68
  5. Step 5: Solve for x
    x = 4,724,253,223.68/71,149
  6. Step 6: Final answer
    x = 66,399.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.