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Finding the Fourth Proportional to 85,507.11, 117,999.45 and 47,781.36

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Solution

The fourth proportional to 85,507.11, 117,999.45 and 47,781.36 is: 65,938.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,507.11 : 117,999.45 = 47,781.36 : x
  2. Step 2: Convert to fraction form
    85,507.11/117,999.45 = 47,781.36/x
  3. Step 3: Cross multiply
    85,507.11x = 117,999.45 × 47,781.36
  4. Step 4: Simplify right side
    85,507.11x = 5,638,174,200.25
  5. Step 5: Solve for x
    x = 5,638,174,200.25/85,507.11
  6. Step 6: Final answer
    x = 65,938.07

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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.