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Finding the Fourth Proportional to 41,314.24, 57,014.04 and 24,544

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Solution

The fourth proportional to 41,314.24, 57,014.04 and 24,544 is: 33,870.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,314.24 : 57,014.04 = 24,544 : x
  2. Step 2: Convert to fraction form
    41,314.24/57,014.04 = 24,544/x
  3. Step 3: Cross multiply
    41,314.24x = 57,014.04 × 24,544
  4. Step 4: Simplify right side
    41,314.24x = 1,399,352,597.76
  5. Step 5: Solve for x
    x = 1,399,352,597.76/41,314.24
  6. Step 6: Final answer
    x = 33,870.95

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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.