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Finding the Fourth Proportional to 85,455.74, 117,931.30 and 47,217.76

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Solution

The fourth proportional to 85,455.74, 117,931.30 and 47,217.76 is: 65,161.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,455.74 : 117,931.30 = 47,217.76 : x
  2. Step 2: Convert to fraction form
    85,455.74/117,931.30 = 47,217.76/x
  3. Step 3: Cross multiply
    85,455.74x = 117,931.30 × 47,217.76
  4. Step 4: Simplify right side
    85,455.74x = 5,568,451,348.28
  5. Step 5: Solve for x
    x = 5,568,451,348.28/85,455.74
  6. Step 6: Final answer
    x = 65,161.82

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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.