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Finding the Fourth Proportional to 31,542.84, 43,514.28 and 18,788.76

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Solution

The fourth proportional to 31,542.84, 43,514.28 and 18,788.76 is: 25,919.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,542.84 : 43,514.28 = 18,788.76 : x
  2. Step 2: Convert to fraction form
    31,542.84/43,514.28 = 18,788.76/x
  3. Step 3: Cross multiply
    31,542.84x = 43,514.28 × 18,788.76
  4. Step 4: Simplify right side
    31,542.84x = 817,579,363.49
  5. Step 5: Solve for x
    x = 817,579,363.49/31,542.84
  6. Step 6: Final answer
    x = 25,919.65

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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.