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Finding the Fourth Proportional to 27,351.76, 37,751.88 and 17,410

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Solution

The fourth proportional to 27,351.76, 37,751.88 and 17,410 is: 24,029.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,351.76 : 37,751.88 = 17,410 : x
  2. Step 2: Convert to fraction form
    27,351.76/37,751.88 = 17,410/x
  3. Step 3: Cross multiply
    27,351.76x = 37,751.88 × 17,410
  4. Step 4: Simplify right side
    27,351.76x = 657,260,230.80
  5. Step 5: Solve for x
    x = 657,260,230.80/27,351.76
  6. Step 6: Final answer
    x = 24,029.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.