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Finding the Fourth Proportional to 24,791.77, 37,232.07 and 22,813.75

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Solution

The fourth proportional to 24,791.77, 37,232.07 and 22,813.75 is: 34,261.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,791.77 : 37,232.07 = 22,813.75 : x
  2. Step 2: Convert to fraction form
    24,791.77/37,232.07 = 22,813.75/x
  3. Step 3: Cross multiply
    24,791.77x = 37,232.07 × 22,813.75
  4. Step 4: Simplify right side
    24,791.77x = 849,403,136.96
  5. Step 5: Solve for x
    x = 849,403,136.96/24,791.77
  6. Step 6: Final answer
    x = 34,261.50

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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.