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Finding the Fourth Proportional to 52,738.92, 72,779.15 and 30,077.33

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Solution

The fourth proportional to 52,738.92, 72,779.15 and 30,077.33 is: 41,506.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,738.92 : 72,779.15 = 30,077.33 : x
  2. Step 2: Convert to fraction form
    52,738.92/72,779.15 = 30,077.33/x
  3. Step 3: Cross multiply
    52,738.92x = 72,779.15 × 30,077.33
  4. Step 4: Simplify right side
    52,738.92x = 2,189,001,997.39
  5. Step 5: Solve for x
    x = 2,189,001,997.39/52,738.92
  6. Step 6: Final answer
    x = 41,506.39

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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.