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Finding the Fourth Proportional to 45,652.32, 62,981.44 and 27,744.44

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Solution

The fourth proportional to 45,652.32, 62,981.44 and 27,744.44 is: 38,275.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,652.32 : 62,981.44 = 27,744.44 : x
  2. Step 2: Convert to fraction form
    45,652.32/62,981.44 = 27,744.44/x
  3. Step 3: Cross multiply
    45,652.32x = 62,981.44 × 27,744.44
  4. Step 4: Simplify right side
    45,652.32x = 1,747,384,783.19
  5. Step 5: Solve for x
    x = 1,747,384,783.19/45,652.32
  6. Step 6: Final answer
    x = 38,275.93

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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.