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Finding the Fourth Proportional to 71,132.08, 106,698.04 and 21,884.08

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Solution

The fourth proportional to 71,132.08, 106,698.04 and 21,884.08 is: 32,826.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,132.08 : 106,698.04 = 21,884.08 : x
  2. Step 2: Convert to fraction form
    71,132.08/106,698.04 = 21,884.08/x
  3. Step 3: Cross multiply
    71,132.08x = 106,698.04 × 21,884.08
  4. Step 4: Simplify right side
    71,132.08x = 2,334,988,443.20
  5. Step 5: Solve for x
    x = 2,334,988,443.20/71,132.08
  6. Step 6: Final answer
    x = 32,826.10

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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.