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Finding the Fourth Proportional to 41,081.76, 56,693.64 and 24,099

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Solution

The fourth proportional to 41,081.76, 56,693.64 and 24,099 is: 33,257.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,081.76 : 56,693.64 = 24,099 : x
  2. Step 2: Convert to fraction form
    41,081.76/56,693.64 = 24,099/x
  3. Step 3: Cross multiply
    41,081.76x = 56,693.64 × 24,099
  4. Step 4: Simplify right side
    41,081.76x = 1,366,260,030.36
  5. Step 5: Solve for x
    x = 1,366,260,030.36/41,081.76
  6. Step 6: Final answer
    x = 33,257.10

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Why These Related Problems?

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