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Finding the Fourth Proportional to 39,765.84, 54,876.84 and 21,862

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Solution

The fourth proportional to 39,765.84, 54,876.84 and 21,862 is: 30,169.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,765.84 : 54,876.84 = 21,862 : x
  2. Step 2: Convert to fraction form
    39,765.84/54,876.84 = 21,862/x
  3. Step 3: Cross multiply
    39,765.84x = 54,876.84 × 21,862
  4. Step 4: Simplify right side
    39,765.84x = 1,199,717,476.08
  5. Step 5: Solve for x
    x = 1,199,717,476.08/39,765.84
  6. Step 6: Final answer
    x = 30,169.55

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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.