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Finding the Fourth Proportional to 81,881.44, 112,996.56 and 48,349.60

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Solution

The fourth proportional to 81,881.44, 112,996.56 and 48,349.60 is: 66,722.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,881.44 : 112,996.56 = 48,349.60 : x
  2. Step 2: Convert to fraction form
    81,881.44/112,996.56 = 48,349.60/x
  3. Step 3: Cross multiply
    81,881.44x = 112,996.56 × 48,349.60
  4. Step 4: Simplify right side
    81,881.44x = 5,463,338,477.38
  5. Step 5: Solve for x
    x = 5,463,338,477.38/81,881.44
  6. Step 6: Final answer
    x = 66,722.55

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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.