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Finding the Fourth Proportional to 37,670.60, 56,508.06 and 11,378

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Solution

The fourth proportional to 37,670.60, 56,508.06 and 11,378 is: 17,067.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,670.60 : 56,508.06 = 11,378 : x
  2. Step 2: Convert to fraction form
    37,670.60/56,508.06 = 11,378/x
  3. Step 3: Cross multiply
    37,670.60x = 56,508.06 × 11,378
  4. Step 4: Simplify right side
    37,670.60x = 642,948,706.68
  5. Step 5: Solve for x
    x = 642,948,706.68/37,670.60
  6. Step 6: Final answer
    x = 17,067.65

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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.