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Finding the Fourth Proportional to 71,206.80, 106,664.40 and 36,166.20

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Solution

The fourth proportional to 71,206.80, 106,664.40 and 36,166.20 is: 54,175.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,206.80 : 106,664.40 = 36,166.20 : x
  2. Step 2: Convert to fraction form
    71,206.80/106,664.40 = 36,166.20/x
  3. Step 3: Cross multiply
    71,206.80x = 106,664.40 × 36,166.20
  4. Step 4: Simplify right side
    71,206.80x = 3,857,646,023.28
  5. Step 5: Solve for x
    x = 3,857,646,023.28/71,206.80
  6. Step 6: Final answer
    x = 54,175.25

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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.