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Finding the Fourth Proportional to 29,959.38, 44,943.39 and 9,184.50

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Solution

The fourth proportional to 29,959.38, 44,943.39 and 9,184.50 is: 13,778.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,959.38 : 44,943.39 = 9,184.50 : x
  2. Step 2: Convert to fraction form
    29,959.38/44,943.39 = 9,184.50/x
  3. Step 3: Cross multiply
    29,959.38x = 44,943.39 × 9,184.50
  4. Step 4: Simplify right side
    29,959.38x = 412,782,565.46
  5. Step 5: Solve for x
    x = 412,782,565.46/29,959.38
  6. Step 6: Final answer
    x = 13,778.07

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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.