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Finding the Fourth Proportional to 49,477.52, 68,249.04 and 29,328

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Solution

The fourth proportional to 49,477.52, 68,249.04 and 29,328 is: 40,454.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,477.52 : 68,249.04 = 29,328 : x
  2. Step 2: Convert to fraction form
    49,477.52/68,249.04 = 29,328/x
  3. Step 3: Cross multiply
    49,477.52x = 68,249.04 × 29,328
  4. Step 4: Simplify right side
    49,477.52x = 2,001,607,845.12
  5. Step 5: Solve for x
    x = 2,001,607,845.12/49,477.52
  6. Step 6: Final answer
    x = 40,454.89

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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.