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Finding the Fourth Proportional to 73,781.85, 110,506.26 and 51,693.81

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Solution

The fourth proportional to 73,781.85, 110,506.26 and 51,693.81 is: 77,424.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,781.85 : 110,506.26 = 51,693.81 : x
  2. Step 2: Convert to fraction form
    73,781.85/110,506.26 = 51,693.81/x
  3. Step 3: Cross multiply
    73,781.85x = 110,506.26 × 51,693.81
  4. Step 4: Simplify right side
    73,781.85x = 5,712,489,608.25
  5. Step 5: Solve for x
    x = 5,712,489,608.25/73,781.85
  6. Step 6: Final answer
    x = 77,424.05

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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.