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Finding the Fourth Proportional to 78,565.61, 117,797.70 and 33,616.30

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Solution

The fourth proportional to 78,565.61, 117,797.70 and 33,616.30 is: 50,402.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,565.61 : 117,797.70 = 33,616.30 : x
  2. Step 2: Convert to fraction form
    78,565.61/117,797.70 = 33,616.30/x
  3. Step 3: Cross multiply
    78,565.61x = 117,797.70 × 33,616.30
  4. Step 4: Simplify right side
    78,565.61x = 3,959,922,065.44
  5. Step 5: Solve for x
    x = 3,959,922,065.44/78,565.61
  6. Step 6: Final answer
    x = 50,402.74

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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.