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Finding the Fourth Proportional to 30,275.65, 41,780.39 and 16,847.77

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Solution

The fourth proportional to 30,275.65, 41,780.39 and 16,847.77 is: 23,249.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,275.65 : 41,780.39 = 16,847.77 : x
  2. Step 2: Convert to fraction form
    30,275.65/41,780.39 = 16,847.77/x
  3. Step 3: Cross multiply
    30,275.65x = 41,780.39 × 16,847.77
  4. Step 4: Simplify right side
    30,275.65x = 703,906,401.23
  5. Step 5: Solve for x
    x = 703,906,401.23/30,275.65
  6. Step 6: Final answer
    x = 23,249.92

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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.