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Finding the Fourth Proportional to 31,005.63, 42,786.84 and 17,578.11

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Solution

The fourth proportional to 31,005.63, 42,786.84 and 17,578.11 is: 24,257.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,005.63 : 42,786.84 = 17,578.11 : x
  2. Step 2: Convert to fraction form
    31,005.63/42,786.84 = 17,578.11/x
  3. Step 3: Cross multiply
    31,005.63x = 42,786.84 × 17,578.11
  4. Step 4: Simplify right side
    31,005.63x = 752,111,780.07
  5. Step 5: Solve for x
    x = 752,111,780.07/31,005.63
  6. Step 6: Final answer
    x = 24,257.26

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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.