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Finding the Fourth Proportional to 107,711.80, 161,574.90 and 36,633.40

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Solution

The fourth proportional to 107,711.80, 161,574.90 and 36,633.40 is: 54,952.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,711.80 : 161,574.90 = 36,633.40 : x
  2. Step 2: Convert to fraction form
    107,711.80/161,574.90 = 36,633.40/x
  3. Step 3: Cross multiply
    107,711.80x = 161,574.90 × 36,633.40
  4. Step 4: Simplify right side
    107,711.80x = 5,919,037,941.66
  5. Step 5: Solve for x
    x = 5,919,037,941.66/107,711.80
  6. Step 6: Final answer
    x = 54,952.55

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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.