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Finding the Fourth Proportional to 85,305.06, 117,723.51 and 47,578.50

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Solution

The fourth proportional to 85,305.06, 117,723.51 and 47,578.50 is: 65,659.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,305.06 : 117,723.51 = 47,578.50 : x
  2. Step 2: Convert to fraction form
    85,305.06/117,723.51 = 47,578.50/x
  3. Step 3: Cross multiply
    85,305.06x = 117,723.51 × 47,578.50
  4. Step 4: Simplify right side
    85,305.06x = 5,601,108,020.54
  5. Step 5: Solve for x
    x = 5,601,108,020.54/85,305.06
  6. Step 6: Final answer
    x = 65,659.74

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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.