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Finding the Fourth Proportional to 29,076.32, 43,627.44 and 10,604

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Solution

The fourth proportional to 29,076.32, 43,627.44 and 10,604 is: 15,910.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,076.32 : 43,627.44 = 10,604 : x
  2. Step 2: Convert to fraction form
    29,076.32/43,627.44 = 10,604/x
  3. Step 3: Cross multiply
    29,076.32x = 43,627.44 × 10,604
  4. Step 4: Simplify right side
    29,076.32x = 462,625,373.76
  5. Step 5: Solve for x
    x = 462,625,373.76/29,076.32
  6. Step 6: Final answer
    x = 15,910.73

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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.