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Finding the Fourth Proportional to 31,029.06, 42,821.02 and 16,882.82

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Solution

The fourth proportional to 31,029.06, 42,821.02 and 16,882.82 is: 23,298.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,029.06 : 42,821.02 = 16,882.82 : x
  2. Step 2: Convert to fraction form
    31,029.06/42,821.02 = 16,882.82/x
  3. Step 3: Cross multiply
    31,029.06x = 42,821.02 × 16,882.82
  4. Step 4: Simplify right side
    31,029.06x = 722,939,572.88
  5. Step 5: Solve for x
    x = 722,939,572.88/31,029.06
  6. Step 6: Final answer
    x = 23,298.79

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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.