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Finding the Fourth Proportional to 50,506.71, 75,786.03 and 38,736.10

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Solution

The fourth proportional to 50,506.71, 75,786.03 and 38,736.10 is: 58,124.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,506.71 : 75,786.03 = 38,736.10 : x
  2. Step 2: Convert to fraction form
    50,506.71/75,786.03 = 38,736.10/x
  3. Step 3: Cross multiply
    50,506.71x = 75,786.03 × 38,736.10
  4. Step 4: Simplify right side
    50,506.71x = 2,935,655,236.68
  5. Step 5: Solve for x
    x = 2,935,655,236.68/50,506.71
  6. Step 6: Final answer
    x = 58,124.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.