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Finding the Fourth Proportional to 75,843.84, 113,765.28 and 40,800

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Solution

The fourth proportional to 75,843.84, 113,765.28 and 40,800 is: 61,199.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,843.84 : 113,765.28 = 40,800 : x
  2. Step 2: Convert to fraction form
    75,843.84/113,765.28 = 40,800/x
  3. Step 3: Cross multiply
    75,843.84x = 113,765.28 × 40,800
  4. Step 4: Simplify right side
    75,843.84x = 4,641,623,424
  5. Step 5: Solve for x
    x = 4,641,623,424/75,843.84
  6. Step 6: Final answer
    x = 61,199.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.