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Finding the Fourth Proportional to 31,081.76, 42,891.54 and 17,652.98

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Solution

The fourth proportional to 31,081.76, 42,891.54 and 17,652.98 is: 24,360.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,081.76 : 42,891.54 = 17,652.98 : x
  2. Step 2: Convert to fraction form
    31,081.76/42,891.54 = 17,652.98/x
  3. Step 3: Cross multiply
    31,081.76x = 42,891.54 × 17,652.98
  4. Step 4: Simplify right side
    31,081.76x = 757,163,497.79
  5. Step 5: Solve for x
    x = 757,163,497.79/31,081.76
  6. Step 6: Final answer
    x = 24,360.38

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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.