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Finding the Fourth Proportional to 29,479.60, 44,049.02 and 24,814

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Solution

The fourth proportional to 29,479.60, 44,049.02 and 24,814 is: 37,077.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,479.60 : 44,049.02 = 24,814 : x
  2. Step 2: Convert to fraction form
    29,479.60/44,049.02 = 24,814/x
  3. Step 3: Cross multiply
    29,479.60x = 44,049.02 × 24,814
  4. Step 4: Simplify right side
    29,479.60x = 1,093,032,382.28
  5. Step 5: Solve for x
    x = 1,093,032,382.28/29,479.60
  6. Step 6: Final answer
    x = 37,077.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.