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Finding the Fourth Proportional to 31,275, 43,159.50 and 17,127.95

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Solution

The fourth proportional to 31,275, 43,159.50 and 17,127.95 is: 23,636.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,275 : 43,159.50 = 17,127.95 : x
  2. Step 2: Convert to fraction form
    31,275/43,159.50 = 17,127.95/x
  3. Step 3: Cross multiply
    31,275x = 43,159.50 × 17,127.95
  4. Step 4: Simplify right side
    31,275x = 739,233,542.23
  5. Step 5: Solve for x
    x = 739,233,542.23/31,275
  6. Step 6: Final answer
    x = 23,636.56

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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.