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Finding the Fourth Proportional to 39,477.78, 54,490.32 and 24,372.90

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Solution

The fourth proportional to 39,477.78, 54,490.32 and 24,372.90 is: 33,641.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,477.78 : 54,490.32 = 24,372.90 : x
  2. Step 2: Convert to fraction form
    39,477.78/54,490.32 = 24,372.90/x
  3. Step 3: Cross multiply
    39,477.78x = 54,490.32 × 24,372.90
  4. Step 4: Simplify right side
    39,477.78x = 1,328,087,120.33
  5. Step 5: Solve for x
    x = 1,328,087,120.33/39,477.78
  6. Step 6: Final answer
    x = 33,641.38

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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.