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Finding the Fourth Proportional to 34,513.80, 47,519.82 and 31,360.56

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Solution

The fourth proportional to 34,513.80, 47,519.82 and 31,360.56 is: 43,178.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,513.80 : 47,519.82 = 31,360.56 : x
  2. Step 2: Convert to fraction form
    34,513.80/47,519.82 = 31,360.56/x
  3. Step 3: Cross multiply
    34,513.80x = 47,519.82 × 31,360.56
  4. Step 4: Simplify right side
    34,513.80x = 1,490,248,166.30
  5. Step 5: Solve for x
    x = 1,490,248,166.30/34,513.80
  6. Step 6: Final answer
    x = 43,178.33

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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.