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Finding the Fourth Proportional to 29,815.64, 44,728.26 and 9,034.28

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Solution

The fourth proportional to 29,815.64, 44,728.26 and 9,034.28 is: 13,552.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,815.64 : 44,728.26 = 9,034.28 : x
  2. Step 2: Convert to fraction form
    29,815.64/44,728.26 = 9,034.28/x
  3. Step 3: Cross multiply
    29,815.64x = 44,728.26 × 9,034.28
  4. Step 4: Simplify right side
    29,815.64x = 404,087,624.75
  5. Step 5: Solve for x
    x = 404,087,624.75/29,815.64
  6. Step 6: Final answer
    x = 13,552.87

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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.