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Finding the Fourth Proportional to 86,212, 118,974.24 and 52,221.76

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Solution

The fourth proportional to 86,212, 118,974.24 and 52,221.76 is: 72,067.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,212 : 118,974.24 = 52,221.76 : x
  2. Step 2: Convert to fraction form
    86,212/118,974.24 = 52,221.76/x
  3. Step 3: Cross multiply
    86,212x = 118,974.24 × 52,221.76
  4. Step 4: Simplify right side
    86,212x = 6,213,044,207.46
  5. Step 5: Solve for x
    x = 6,213,044,207.46/86,212
  6. Step 6: Final answer
    x = 72,067.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.