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Finding the Fourth Proportional to 34,027.60, 46,960.71 and 20,416.15

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Solution

The fourth proportional to 34,027.60, 46,960.71 and 20,416.15 is: 28,175.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,027.60 : 46,960.71 = 20,416.15 : x
  2. Step 2: Convert to fraction form
    34,027.60/46,960.71 = 20,416.15/x
  3. Step 3: Cross multiply
    34,027.60x = 46,960.71 × 20,416.15
  4. Step 4: Simplify right side
    34,027.60x = 958,756,899.47
  5. Step 5: Solve for x
    x = 958,756,899.47/34,027.60
  6. Step 6: Final answer
    x = 28,175.86

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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.