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Finding the Fourth Proportional to 40,552.75, 55,987.50 and 27,826.84

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Solution

The fourth proportional to 40,552.75, 55,987.50 and 27,826.84 is: 38,417.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,552.75 : 55,987.50 = 27,826.84 : x
  2. Step 2: Convert to fraction form
    40,552.75/55,987.50 = 27,826.84/x
  3. Step 3: Cross multiply
    40,552.75x = 55,987.50 × 27,826.84
  4. Step 4: Simplify right side
    40,552.75x = 1,557,955,204.50
  5. Step 5: Solve for x
    x = 1,557,955,204.50/40,552.75
  6. Step 6: Final answer
    x = 38,417.99

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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.