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Finding the Fourth Proportional to 41,055.24, 56,653.38 and 24,285

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Solution

The fourth proportional to 41,055.24, 56,653.38 and 24,285 is: 33,511.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,055.24 : 56,653.38 = 24,285 : x
  2. Step 2: Convert to fraction form
    41,055.24/56,653.38 = 24,285/x
  3. Step 3: Cross multiply
    41,055.24x = 56,653.38 × 24,285
  4. Step 4: Simplify right side
    41,055.24x = 1,375,827,333.30
  5. Step 5: Solve for x
    x = 1,375,827,333.30/41,055.24
  6. Step 6: Final answer
    x = 33,511.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.