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Finding the Fourth Proportional to 41,993.92, 57,946.80 and 24,084

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Solution

The fourth proportional to 41,993.92, 57,946.80 and 24,084 is: 33,233.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,993.92 : 57,946.80 = 24,084 : x
  2. Step 2: Convert to fraction form
    41,993.92/57,946.80 = 24,084/x
  3. Step 3: Cross multiply
    41,993.92x = 57,946.80 × 24,084
  4. Step 4: Simplify right side
    41,993.92x = 1,395,590,731.20
  5. Step 5: Solve for x
    x = 1,395,590,731.20/41,993.92
  6. Step 6: Final answer
    x = 33,233.16

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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.