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Finding the Fourth Proportional to 67,816.80, 101,731.68 and 21,057.12

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Solution

The fourth proportional to 67,816.80, 101,731.68 and 21,057.12 is: 31,587.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,816.80 : 101,731.68 = 21,057.12 : x
  2. Step 2: Convert to fraction form
    67,816.80/101,731.68 = 21,057.12/x
  3. Step 3: Cross multiply
    67,816.80x = 101,731.68 × 21,057.12
  4. Step 4: Simplify right side
    67,816.80x = 2,142,176,193.56
  5. Step 5: Solve for x
    x = 2,142,176,193.56/67,816.80
  6. Step 6: Final answer
    x = 31,587.69

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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.