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Finding the Fourth Proportional to 67,814.40, 101,731.20 and 21,062.40

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Solution

The fourth proportional to 67,814.40, 101,731.20 and 21,062.40 is: 31,596.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,814.40 : 101,731.20 = 21,062.40 : x
  2. Step 2: Convert to fraction form
    67,814.40/101,731.20 = 21,062.40/x
  3. Step 3: Cross multiply
    67,814.40x = 101,731.20 × 21,062.40
  4. Step 4: Simplify right side
    67,814.40x = 2,142,703,226.88
  5. Step 5: Solve for x
    x = 2,142,703,226.88/67,814.40
  6. Step 6: Final answer
    x = 31,596.58

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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.