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Finding the Fourth Proportional to 100,307.43, 150,460.02 and 24,406.47

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Solution

The fourth proportional to 100,307.43, 150,460.02 and 24,406.47 is: 36,609.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,307.43 : 150,460.02 = 24,406.47 : x
  2. Step 2: Convert to fraction form
    100,307.43/150,460.02 = 24,406.47/x
  3. Step 3: Cross multiply
    100,307.43x = 150,460.02 × 24,406.47
  4. Step 4: Simplify right side
    100,307.43x = 3,672,197,964.33
  5. Step 5: Solve for x
    x = 3,672,197,964.33/100,307.43
  6. Step 6: Final answer
    x = 36,609.43

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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.