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Finding the Fourth Proportional to 85,883.90, 118,517.38 and 47,643.26

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Solution

The fourth proportional to 85,883.90, 118,517.38 and 47,643.26 is: 65,746.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,883.90 : 118,517.38 = 47,643.26 : x
  2. Step 2: Convert to fraction form
    85,883.90/118,517.38 = 47,643.26/x
  3. Step 3: Cross multiply
    85,883.90x = 118,517.38 × 47,643.26
  4. Step 4: Simplify right side
    85,883.90x = 5,646,553,638.16
  5. Step 5: Solve for x
    x = 5,646,553,638.16/85,883.90
  6. Step 6: Final answer
    x = 65,746.36

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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.