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Finding the Fourth Proportional to 67,497.30, 101,221.65 and 34,206.30

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Solution

The fourth proportional to 67,497.30, 101,221.65 and 34,206.30 is: 51,297.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,497.30 : 101,221.65 = 34,206.30 : x
  2. Step 2: Convert to fraction form
    67,497.30/101,221.65 = 34,206.30/x
  3. Step 3: Cross multiply
    67,497.30x = 101,221.65 × 34,206.30
  4. Step 4: Simplify right side
    67,497.30x = 3,462,418,126.40
  5. Step 5: Solve for x
    x = 3,462,418,126.40/67,497.30
  6. Step 6: Final answer
    x = 51,297.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.