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Finding the Fourth Proportional to 29,244, 43,870.56 and 9,517.89

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Solution

The fourth proportional to 29,244, 43,870.56 and 9,517.89 is: 14,278.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,244 : 43,870.56 = 9,517.89 : x
  2. Step 2: Convert to fraction form
    29,244/43,870.56 = 9,517.89/x
  3. Step 3: Cross multiply
    29,244x = 43,870.56 × 9,517.89
  4. Step 4: Simplify right side
    29,244x = 417,555,164.32
  5. Step 5: Solve for x
    x = 417,555,164.32/29,244
  6. Step 6: Final answer
    x = 14,278.32

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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.