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Finding the Fourth Proportional to 41,812, 57,698.47 and 24,816.98

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Solution

The fourth proportional to 41,812, 57,698.47 and 24,816.98 is: 34,246.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,812 : 57,698.47 = 24,816.98 : x
  2. Step 2: Convert to fraction form
    41,812/57,698.47 = 24,816.98/x
  3. Step 3: Cross multiply
    41,812x = 57,698.47 × 24,816.98
  4. Step 4: Simplify right side
    41,812x = 1,431,901,776.02
  5. Step 5: Solve for x
    x = 1,431,901,776.02/41,812
  6. Step 6: Final answer
    x = 34,246.19

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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.