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Finding the Fourth Proportional to 73,058, 100,820.76 and 39,524.72

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Solution

The fourth proportional to 73,058, 100,820.76 and 39,524.72 is: 54,544.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,058 : 100,820.76 = 39,524.72 : x
  2. Step 2: Convert to fraction form
    73,058/100,820.76 = 39,524.72/x
  3. Step 3: Cross multiply
    73,058x = 100,820.76 × 39,524.72
  4. Step 4: Simplify right side
    73,058x = 3,984,912,309.19
  5. Step 5: Solve for x
    x = 3,984,912,309.19/73,058
  6. Step 6: Final answer
    x = 54,544.50

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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.