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Finding the Fourth Proportional to 85,919.31, 118,569.60 and 47,679.60

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Solution

The fourth proportional to 85,919.31, 118,569.60 and 47,679.60 is: 65,798.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,919.31 : 118,569.60 = 47,679.60 : x
  2. Step 2: Convert to fraction form
    85,919.31/118,569.60 = 47,679.60/x
  3. Step 3: Cross multiply
    85,919.31x = 118,569.60 × 47,679.60
  4. Step 4: Simplify right side
    85,919.31x = 5,653,351,100.16
  5. Step 5: Solve for x
    x = 5,653,351,100.16/85,919.31
  6. Step 6: Final answer
    x = 65,798.38

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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.