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Finding the Fourth Proportional to 54,912.50, 75,779.52 and 29,762

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Solution

The fourth proportional to 54,912.50, 75,779.52 and 29,762 is: 41,071.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,912.50 : 75,779.52 = 29,762 : x
  2. Step 2: Convert to fraction form
    54,912.50/75,779.52 = 29,762/x
  3. Step 3: Cross multiply
    54,912.50x = 75,779.52 × 29,762
  4. Step 4: Simplify right side
    54,912.50x = 2,255,350,074.24
  5. Step 5: Solve for x
    x = 2,255,350,074.24/54,912.50
  6. Step 6: Final answer
    x = 41,071.71

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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.