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Finding the Fourth Proportional to 31,012.34, 42,797.99 and 17,584.16

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Solution

The fourth proportional to 31,012.34, 42,797.99 and 17,584.16 is: 24,266.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,012.34 : 42,797.99 = 17,584.16 : x
  2. Step 2: Convert to fraction form
    31,012.34/42,797.99 = 17,584.16/x
  3. Step 3: Cross multiply
    31,012.34x = 42,797.99 × 17,584.16
  4. Step 4: Simplify right side
    31,012.34x = 752,566,533.81
  5. Step 5: Solve for x
    x = 752,566,533.81/31,012.34
  6. Step 6: Final answer
    x = 24,266.68

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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.