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Finding the Fourth Proportional to 31,117.68, 42,950.16 and 18,540

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Solution

The fourth proportional to 31,117.68, 42,950.16 and 18,540 is: 25,589.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,117.68 : 42,950.16 = 18,540 : x
  2. Step 2: Convert to fraction form
    31,117.68/42,950.16 = 18,540/x
  3. Step 3: Cross multiply
    31,117.68x = 42,950.16 × 18,540
  4. Step 4: Simplify right side
    31,117.68x = 796,295,966.40
  5. Step 5: Solve for x
    x = 796,295,966.40/31,117.68
  6. Step 6: Final answer
    x = 25,589.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.