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Finding the Fourth Proportional to 85,422.32, 117,883.01 and 47,697.92

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Solution

The fourth proportional to 85,422.32, 117,883.01 and 47,697.92 is: 65,823.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,422.32 : 117,883.01 = 47,697.92 : x
  2. Step 2: Convert to fraction form
    85,422.32/117,883.01 = 47,697.92/x
  3. Step 3: Cross multiply
    85,422.32x = 117,883.01 × 47,697.92
  4. Step 4: Simplify right side
    85,422.32x = 5,622,774,380.34
  5. Step 5: Solve for x
    x = 5,622,774,380.34/85,422.32
  6. Step 6: Final answer
    x = 65,823.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.