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Finding the Fourth Proportional to 34,778.88, 52,169.35 and 9,816.33

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Solution

The fourth proportional to 34,778.88, 52,169.35 and 9,816.33 is: 14,724.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,778.88 : 52,169.35 = 9,816.33 : x
  2. Step 2: Convert to fraction form
    34,778.88/52,169.35 = 9,816.33/x
  3. Step 3: Cross multiply
    34,778.88x = 52,169.35 × 9,816.33
  4. Step 4: Simplify right side
    34,778.88x = 512,111,357.46
  5. Step 5: Solve for x
    x = 512,111,357.46/34,778.88
  6. Step 6: Final answer
    x = 14,724.78

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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.