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Finding the Fourth Proportional to 45,470.41, 62,752.31 and 27,566.17

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Solution

The fourth proportional to 45,470.41, 62,752.31 and 27,566.17 is: 38,043.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,470.41 : 62,752.31 = 27,566.17 : x
  2. Step 2: Convert to fraction form
    45,470.41/62,752.31 = 27,566.17/x
  3. Step 3: Cross multiply
    45,470.41x = 62,752.31 × 27,566.17
  4. Step 4: Simplify right side
    45,470.41x = 1,729,840,845.35
  5. Step 5: Solve for x
    x = 1,729,840,845.35/45,470.41
  6. Step 6: Final answer
    x = 38,043.22

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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.