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Finding the Fourth Proportional to 37,685.32, 52,003.14 and 20,917

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Solution

The fourth proportional to 37,685.32, 52,003.14 and 20,917 is: 28,864.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,685.32 : 52,003.14 = 20,917 : x
  2. Step 2: Convert to fraction form
    37,685.32/52,003.14 = 20,917/x
  3. Step 3: Cross multiply
    37,685.32x = 52,003.14 × 20,917
  4. Step 4: Simplify right side
    37,685.32x = 1,087,749,679.38
  5. Step 5: Solve for x
    x = 1,087,749,679.38/37,685.32
  6. Step 6: Final answer
    x = 28,864.02

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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.