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Finding the Fourth Proportional to 34,940.43, 52,142.13 and 31,203.63

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Solution

The fourth proportional to 34,940.43, 52,142.13 and 31,203.63 is: 46,565.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,940.43 : 52,142.13 = 31,203.63 : x
  2. Step 2: Convert to fraction form
    34,940.43/52,142.13 = 31,203.63/x
  3. Step 3: Cross multiply
    34,940.43x = 52,142.13 × 31,203.63
  4. Step 4: Simplify right side
    34,940.43x = 1,627,023,731.93
  5. Step 5: Solve for x
    x = 1,627,023,731.93/34,940.43
  6. Step 6: Final answer
    x = 46,565.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.