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Finding the Fourth Proportional to 85,514, 118,011.84 and 47,788.34

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Solution

The fourth proportional to 85,514, 118,011.84 and 47,788.34 is: 65,949.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,514 : 118,011.84 = 47,788.34 : x
  2. Step 2: Convert to fraction form
    85,514/118,011.84 = 47,788.34/x
  3. Step 3: Cross multiply
    85,514x = 118,011.84 × 47,788.34
  4. Step 4: Simplify right side
    85,514x = 5,639,589,933.95
  5. Step 5: Solve for x
    x = 5,639,589,933.95/85,514
  6. Step 6: Final answer
    x = 65,949.32

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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.