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Finding the Fourth Proportional to 85,207.65, 117,595.31 and 51,227.21

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Solution

The fourth proportional to 85,207.65, 117,595.31 and 51,227.21 is: 70,698.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,207.65 : 117,595.31 = 51,227.21 : x
  2. Step 2: Convert to fraction form
    85,207.65/117,595.31 = 51,227.21/x
  3. Step 3: Cross multiply
    85,207.65x = 117,595.31 × 51,227.21
  4. Step 4: Simplify right side
    85,207.65x = 6,024,078,796.27
  5. Step 5: Solve for x
    x = 6,024,078,796.27/85,207.65
  6. Step 6: Final answer
    x = 70,698.80

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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.