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Finding the Fourth Proportional to 45,621.60, 62,957.76 and 27,711.84

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Solution

The fourth proportional to 45,621.60, 62,957.76 and 27,711.84 is: 38,242.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,621.60 : 62,957.76 = 27,711.84 : x
  2. Step 2: Convert to fraction form
    45,621.60/62,957.76 = 27,711.84/x
  3. Step 3: Cross multiply
    45,621.60x = 62,957.76 × 27,711.84
  4. Step 4: Simplify right side
    45,621.60x = 1,744,675,371.88
  5. Step 5: Solve for x
    x = 1,744,675,371.88/45,621.60
  6. Step 6: Final answer
    x = 38,242.31

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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.