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Finding the Fourth Proportional to 41,978.16, 57,928.80 and 24,083.76

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Solution

The fourth proportional to 41,978.16, 57,928.80 and 24,083.76 is: 33,234.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,978.16 : 57,928.80 = 24,083.76 : x
  2. Step 2: Convert to fraction form
    41,978.16/57,928.80 = 24,083.76/x
  3. Step 3: Cross multiply
    41,978.16x = 57,928.80 × 24,083.76
  4. Step 4: Simplify right side
    41,978.16x = 1,395,143,316.29
  5. Step 5: Solve for x
    x = 1,395,143,316.29/41,978.16
  6. Step 6: Final answer
    x = 33,234.98

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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.