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Finding the Fourth Proportional to 29,679.76, 44,532 and 13,031.20

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Solution

The fourth proportional to 29,679.76, 44,532 and 13,031.20 is: 19,552.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,679.76 : 44,532 = 13,031.20 : x
  2. Step 2: Convert to fraction form
    29,679.76/44,532 = 13,031.20/x
  3. Step 3: Cross multiply
    29,679.76x = 44,532 × 13,031.20
  4. Step 4: Simplify right side
    29,679.76x = 580,305,398.40
  5. Step 5: Solve for x
    x = 580,305,398.40/29,679.76
  6. Step 6: Final answer
    x = 19,552.23

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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.