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Finding the Fourth Proportional to 41,019.31, 56,620.71 and 24,029

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Solution

The fourth proportional to 41,019.31, 56,620.71 and 24,029 is: 33,168.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,019.31 : 56,620.71 = 24,029 : x
  2. Step 2: Convert to fraction form
    41,019.31/56,620.71 = 24,029/x
  3. Step 3: Cross multiply
    41,019.31x = 56,620.71 × 24,029
  4. Step 4: Simplify right side
    41,019.31x = 1,360,538,920.45
  5. Step 5: Solve for x
    x = 1,360,538,920.45/41,019.31
  6. Step 6: Final answer
    x = 33,168.26

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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.