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Finding the Fourth Proportional to 31,011.66, 42,795.09 and 17,584.11

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Solution

The fourth proportional to 31,011.66, 42,795.09 and 17,584.11 is: 24,265.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,011.66 : 42,795.09 = 17,584.11 : x
  2. Step 2: Convert to fraction form
    31,011.66/42,795.09 = 17,584.11/x
  3. Step 3: Cross multiply
    31,011.66x = 42,795.09 × 17,584.11
  4. Step 4: Simplify right side
    31,011.66x = 752,513,570.02
  5. Step 5: Solve for x
    x = 752,513,570.02/31,011.66
  6. Step 6: Final answer
    x = 24,265.50

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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.