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Finding the Fourth Proportional to 45,731.70, 63,119.55 and 27,832.47

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Solution

The fourth proportional to 45,731.70, 63,119.55 and 27,832.47 is: 38,414.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,731.70 : 63,119.55 = 27,832.47 : x
  2. Step 2: Convert to fraction form
    45,731.70/63,119.55 = 27,832.47/x
  3. Step 3: Cross multiply
    45,731.70x = 63,119.55 × 27,832.47
  4. Step 4: Simplify right side
    45,731.70x = 1,756,772,981.79
  5. Step 5: Solve for x
    x = 1,756,772,981.79/45,731.70
  6. Step 6: Final answer
    x = 38,414.78

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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.