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Finding the Fourth Proportional to 100,655.90, 150,984.50 and 29,578.24

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Solution

The fourth proportional to 100,655.90, 150,984.50 and 29,578.24 is: 44,367.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,655.90 : 150,984.50 = 29,578.24 : x
  2. Step 2: Convert to fraction form
    100,655.90/150,984.50 = 29,578.24/x
  3. Step 3: Cross multiply
    100,655.90x = 150,984.50 × 29,578.24
  4. Step 4: Simplify right side
    100,655.90x = 4,465,855,777.28
  5. Step 5: Solve for x
    x = 4,465,855,777.28/100,655.90
  6. Step 6: Final answer
    x = 44,367.55

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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.