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Finding the Fourth Proportional to 96,735.60, 145,103.40 and 26,614.80

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Solution

The fourth proportional to 96,735.60, 145,103.40 and 26,614.80 is: 39,922.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,735.60 : 145,103.40 = 26,614.80 : x
  2. Step 2: Convert to fraction form
    96,735.60/145,103.40 = 26,614.80/x
  3. Step 3: Cross multiply
    96,735.60x = 145,103.40 × 26,614.80
  4. Step 4: Simplify right side
    96,735.60x = 3,861,897,970.32
  5. Step 5: Solve for x
    x = 3,861,897,970.32/96,735.60
  6. Step 6: Final answer
    x = 39,922.20

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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.