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Finding the Fourth Proportional to 29,354.40, 44,031.12 and 7,167.84

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Solution

The fourth proportional to 29,354.40, 44,031.12 and 7,167.84 is: 10,751.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,354.40 : 44,031.12 = 7,167.84 : x
  2. Step 2: Convert to fraction form
    29,354.40/44,031.12 = 7,167.84/x
  3. Step 3: Cross multiply
    29,354.40x = 44,031.12 × 7,167.84
  4. Step 4: Simplify right side
    29,354.40x = 315,608,023.18
  5. Step 5: Solve for x
    x = 315,608,023.18/29,354.40
  6. Step 6: Final answer
    x = 10,751.64

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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.