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Finding the Fourth Proportional to 29,978.20, 44,963.34 and 7,793.11

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Solution

The fourth proportional to 29,978.20, 44,963.34 and 7,793.11 is: 11,688.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,978.20 : 44,963.34 = 7,793.11 : x
  2. Step 2: Convert to fraction form
    29,978.20/44,963.34 = 7,793.11/x
  3. Step 3: Cross multiply
    29,978.20x = 44,963.34 × 7,793.11
  4. Step 4: Simplify right side
    29,978.20x = 350,404,254.59
  5. Step 5: Solve for x
    x = 350,404,254.59/29,978.20
  6. Step 6: Final answer
    x = 11,688.64

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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.