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Finding the Fourth Proportional to 49,878.83, 68,830.34 and 27,216.47

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Solution

The fourth proportional to 49,878.83, 68,830.34 and 27,216.47 is: 37,557.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,878.83 : 68,830.34 = 27,216.47 : x
  2. Step 2: Convert to fraction form
    49,878.83/68,830.34 = 27,216.47/x
  3. Step 3: Cross multiply
    49,878.83x = 68,830.34 × 27,216.47
  4. Step 4: Simplify right side
    49,878.83x = 1,873,318,607.59
  5. Step 5: Solve for x
    x = 1,873,318,607.59/49,878.83
  6. Step 6: Final answer
    x = 37,557.39

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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.