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Finding the Fourth Proportional to 90,407.20, 135,610.80 and 24,743.20

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Solution

The fourth proportional to 90,407.20, 135,610.80 and 24,743.20 is: 37,114.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,407.20 : 135,610.80 = 24,743.20 : x
  2. Step 2: Convert to fraction form
    90,407.20/135,610.80 = 24,743.20/x
  3. Step 3: Cross multiply
    90,407.20x = 135,610.80 × 24,743.20
  4. Step 4: Simplify right side
    90,407.20x = 3,355,445,146.56
  5. Step 5: Solve for x
    x = 3,355,445,146.56/90,407.20
  6. Step 6: Final answer
    x = 37,114.80

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1.5x scale

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.