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Finding the Fourth Proportional to 27,616, 41,320.32 and 17,178.88

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Solution

The fourth proportional to 27,616, 41,320.32 and 17,178.88 is: 25,703.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,616 : 41,320.32 = 17,178.88 : x
  2. Step 2: Convert to fraction form
    27,616/41,320.32 = 17,178.88/x
  3. Step 3: Cross multiply
    27,616x = 41,320.32 × 17,178.88
  4. Step 4: Simplify right side
    27,616x = 709,836,818.84
  5. Step 5: Solve for x
    x = 709,836,818.84/27,616
  6. Step 6: Final answer
    x = 25,703.82

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Why These Related Problems?

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