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Finding the Fourth Proportional to 67,817, 101,731.04 and 34,065.66

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Solution

The fourth proportional to 67,817, 101,731.04 and 34,065.66 is: 51,101.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,817 : 101,731.04 = 34,065.66 : x
  2. Step 2: Convert to fraction form
    67,817/101,731.04 = 34,065.66/x
  3. Step 3: Cross multiply
    67,817x = 101,731.04 × 34,065.66
  4. Step 4: Simplify right side
    67,817x = 3,465,534,341.10
  5. Step 5: Solve for x
    x = 3,465,534,341.10/67,817
  6. Step 6: Final answer
    x = 51,101.26

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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.