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Finding the Fourth Proportional to 31,074.48, 42,882.68 and 16,927.28

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Solution

The fourth proportional to 31,074.48, 42,882.68 and 16,927.28 is: 23,359.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,074.48 : 42,882.68 = 16,927.28 : x
  2. Step 2: Convert to fraction form
    31,074.48/42,882.68 = 16,927.28/x
  3. Step 3: Cross multiply
    31,074.48x = 42,882.68 × 16,927.28
  4. Step 4: Simplify right side
    31,074.48x = 725,887,131.51
  5. Step 5: Solve for x
    x = 725,887,131.51/31,074.48
  6. Step 6: Final answer
    x = 23,359.59

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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.