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Finding the Fourth Proportional to 54,871.41, 75,722 and 32,206.40

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Solution

The fourth proportional to 54,871.41, 75,722 and 32,206.40 is: 44,444.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,871.41 : 75,722 = 32,206.40 : x
  2. Step 2: Convert to fraction form
    54,871.41/75,722 = 32,206.40/x
  3. Step 3: Cross multiply
    54,871.41x = 75,722 × 32,206.40
  4. Step 4: Simplify right side
    54,871.41x = 2,438,733,020.80
  5. Step 5: Solve for x
    x = 2,438,733,020.80/54,871.41
  6. Step 6: Final answer
    x = 44,444.51

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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.