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Finding the Fourth Proportional to 53,671.50, 80,496.18 and 31,168.08

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Solution

The fourth proportional to 53,671.50, 80,496.18 and 31,168.08 is: 46,745.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,671.50 : 80,496.18 = 31,168.08 : x
  2. Step 2: Convert to fraction form
    53,671.50/80,496.18 = 31,168.08/x
  3. Step 3: Cross multiply
    53,671.50x = 80,496.18 × 31,168.08
  4. Step 4: Simplify right side
    53,671.50x = 2,508,911,377.93
  5. Step 5: Solve for x
    x = 2,508,911,377.93/53,671.50
  6. Step 6: Final answer
    x = 46,745.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.