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Finding the Fourth Proportional to 67,779.96, 101,738.76 and 32,749.08

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Solution

The fourth proportional to 67,779.96, 101,738.76 and 32,749.08 is: 49,156.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,779.96 : 101,738.76 = 32,749.08 : x
  2. Step 2: Convert to fraction form
    67,779.96/101,738.76 = 32,749.08/x
  3. Step 3: Cross multiply
    67,779.96x = 101,738.76 × 32,749.08
  4. Step 4: Simplify right side
    67,779.96x = 3,331,850,790.34
  5. Step 5: Solve for x
    x = 3,331,850,790.34/67,779.96
  6. Step 6: Final answer
    x = 49,156.87

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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.