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Finding the Fourth Proportional to 84,971.08, 117,259.38 and 47,245

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Solution

The fourth proportional to 84,971.08, 117,259.38 and 47,245 is: 65,197.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,971.08 : 117,259.38 = 47,245 : x
  2. Step 2: Convert to fraction form
    84,971.08/117,259.38 = 47,245/x
  3. Step 3: Cross multiply
    84,971.08x = 117,259.38 × 47,245
  4. Step 4: Simplify right side
    84,971.08x = 5,539,919,408.10
  5. Step 5: Solve for x
    x = 5,539,919,408.10/84,971.08
  6. Step 6: Final answer
    x = 65,197.71

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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.