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Finding the Fourth Proportional to 90,406.20, 135,609.30 and 24,742.20

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Solution

The fourth proportional to 90,406.20, 135,609.30 and 24,742.20 is: 37,113.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,406.20 : 135,609.30 = 24,742.20 : x
  2. Step 2: Convert to fraction form
    90,406.20/135,609.30 = 24,742.20/x
  3. Step 3: Cross multiply
    90,406.20x = 135,609.30 × 24,742.20
  4. Step 4: Simplify right side
    90,406.20x = 3,355,272,422.46
  5. Step 5: Solve for x
    x = 3,355,272,422.46/90,406.20
  6. Step 6: Final answer
    x = 37,113.30

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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.