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Finding the Fourth Proportional to 31,012.66, 42,796.47 and 17,585.11

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Solution

The fourth proportional to 31,012.66, 42,796.47 and 17,585.11 is: 24,266.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,012.66 : 42,796.47 = 17,585.11 : x
  2. Step 2: Convert to fraction form
    31,012.66/42,796.47 = 17,585.11/x
  3. Step 3: Cross multiply
    31,012.66x = 42,796.47 × 17,585.11
  4. Step 4: Simplify right side
    31,012.66x = 752,580,632.56
  5. Step 5: Solve for x
    x = 752,580,632.56/31,012.66
  6. Step 6: Final answer
    x = 24,266.88

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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.