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Finding the Fourth Proportional to 71,689.08, 107,530.81 and 21,767.16

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Solution

The fourth proportional to 71,689.08, 107,530.81 and 21,767.16 is: 32,649.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,689.08 : 107,530.81 = 21,767.16 : x
  2. Step 2: Convert to fraction form
    71,689.08/107,530.81 = 21,767.16/x
  3. Step 3: Cross multiply
    71,689.08x = 107,530.81 × 21,767.16
  4. Step 4: Simplify right side
    71,689.08x = 2,340,640,346.20
  5. Step 5: Solve for x
    x = 2,340,640,346.20/71,689.08
  6. Step 6: Final answer
    x = 32,649.89

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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.