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Finding the Fourth Proportional to 71,745.74, 107,618.71 and 34,297.01

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Solution

The fourth proportional to 71,745.74, 107,618.71 and 34,297.01 is: 51,445.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,745.74 : 107,618.71 = 34,297.01 : x
  2. Step 2: Convert to fraction form
    71,745.74/107,618.71 = 34,297.01/x
  3. Step 3: Cross multiply
    71,745.74x = 107,618.71 × 34,297.01
  4. Step 4: Simplify right side
    71,745.74x = 3,690,999,973.06
  5. Step 5: Solve for x
    x = 3,690,999,973.06/71,745.74
  6. Step 6: Final answer
    x = 51,445.56

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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.