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Finding the Fourth Proportional to 96,708, 145,140 and 49,974.24

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Solution

The fourth proportional to 96,708, 145,140 and 49,974.24 is: 75,001.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,708 : 145,140 = 49,974.24 : x
  2. Step 2: Convert to fraction form
    96,708/145,140 = 49,974.24/x
  3. Step 3: Cross multiply
    96,708x = 145,140 × 49,974.24
  4. Step 4: Simplify right side
    96,708x = 7,253,261,193.60
  5. Step 5: Solve for x
    x = 7,253,261,193.60/96,708
  6. Step 6: Final answer
    x = 75,001.67

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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.