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Finding the Fourth Proportional to 70,149.46, 105,229.68 and 23,402.30

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Solution

The fourth proportional to 70,149.46, 105,229.68 and 23,402.30 is: 35,105.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,149.46 : 105,229.68 = 23,402.30 : x
  2. Step 2: Convert to fraction form
    70,149.46/105,229.68 = 23,402.30/x
  3. Step 3: Cross multiply
    70,149.46x = 105,229.68 × 23,402.30
  4. Step 4: Simplify right side
    70,149.46x = 2,462,616,540.26
  5. Step 5: Solve for x
    x = 2,462,616,540.26/70,149.46
  6. Step 6: Final answer
    x = 35,105.28

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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.