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Finding the Fourth Proportional to 52,166.75, 71,990.12 and 29,810.75

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Solution

The fourth proportional to 52,166.75, 71,990.12 and 29,810.75 is: 41,138.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,166.75 : 71,990.12 = 29,810.75 : x
  2. Step 2: Convert to fraction form
    52,166.75/71,990.12 = 29,810.75/x
  3. Step 3: Cross multiply
    52,166.75x = 71,990.12 × 29,810.75
  4. Step 4: Simplify right side
    52,166.75x = 2,146,079,320.74
  5. Step 5: Solve for x
    x = 2,146,079,320.74/52,166.75
  6. Step 6: Final answer
    x = 41,138.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.