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Finding the Fourth Proportional to 100,407.17, 150,608.27 and 24,506.27

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Solution

The fourth proportional to 100,407.17, 150,608.27 and 24,506.27 is: 36,758.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,407.17 : 150,608.27 = 24,506.27 : x
  2. Step 2: Convert to fraction form
    100,407.17/150,608.27 = 24,506.27/x
  3. Step 3: Cross multiply
    100,407.17x = 150,608.27 × 24,506.27
  4. Step 4: Simplify right side
    100,407.17x = 3,690,847,366.64
  5. Step 5: Solve for x
    x = 3,690,847,366.64/100,407.17
  6. Step 6: Final answer
    x = 36,758.80

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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.