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Finding the Fourth Proportional to 71,210.80, 106,818.36 and 24,463

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Solution

The fourth proportional to 71,210.80, 106,818.36 and 24,463 is: 36,695.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,210.80 : 106,818.36 = 24,463 : x
  2. Step 2: Convert to fraction form
    71,210.80/106,818.36 = 24,463/x
  3. Step 3: Cross multiply
    71,210.80x = 106,818.36 × 24,463
  4. Step 4: Simplify right side
    71,210.80x = 2,613,097,540.68
  5. Step 5: Solve for x
    x = 2,613,097,540.68/71,210.80
  6. Step 6: Final answer
    x = 36,695.24

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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.