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Finding the Fourth Proportional to 77,277.26, 115,933.26 and 41,737.82

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Solution

The fourth proportional to 77,277.26, 115,933.26 and 41,737.82 is: 62,616.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,277.26 : 115,933.26 = 41,737.82 : x
  2. Step 2: Convert to fraction form
    77,277.26/115,933.26 = 41,737.82/x
  3. Step 3: Cross multiply
    77,277.26x = 115,933.26 × 41,737.82
  4. Step 4: Simplify right side
    77,277.26x = 4,838,801,537.89
  5. Step 5: Solve for x
    x = 4,838,801,537.89/77,277.26
  6. Step 6: Final answer
    x = 62,616.11

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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.