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Finding the Fourth Proportional to 31,004.81, 42,787.50 and 17,575.52

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Solution

The fourth proportional to 31,004.81, 42,787.50 and 17,575.52 is: 24,254.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,004.81 : 42,787.50 = 17,575.52 : x
  2. Step 2: Convert to fraction form
    31,004.81/42,787.50 = 17,575.52/x
  3. Step 3: Cross multiply
    31,004.81x = 42,787.50 × 17,575.52
  4. Step 4: Simplify right side
    31,004.81x = 752,012,562
  5. Step 5: Solve for x
    x = 752,012,562/31,004.81
  6. Step 6: Final answer
    x = 24,254.71

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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.