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Finding the Fourth Proportional to 31,012.66, 42,798.81 and 17,583.81

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Solution

The fourth proportional to 31,012.66, 42,798.81 and 17,583.81 is: 24,266.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,012.66 : 42,798.81 = 17,583.81 : x
  2. Step 2: Convert to fraction form
    31,012.66/42,798.81 = 17,583.81/x
  3. Step 3: Cross multiply
    31,012.66x = 42,798.81 × 17,583.81
  4. Step 4: Simplify right side
    31,012.66x = 752,566,143.27
  5. Step 5: Solve for x
    x = 752,566,143.27/31,012.66
  6. Step 6: Final answer
    x = 24,266.42

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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.