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Finding the Fourth Proportional to 35,871.92, 49,473.76 and 31,841.69

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Solution

The fourth proportional to 35,871.92, 49,473.76 and 31,841.69 is: 43,915.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,871.92 : 49,473.76 = 31,841.69 : x
  2. Step 2: Convert to fraction form
    35,871.92/49,473.76 = 31,841.69/x
  3. Step 3: Cross multiply
    35,871.92x = 49,473.76 × 31,841.69
  4. Step 4: Simplify right side
    35,871.92x = 1,575,328,129.05
  5. Step 5: Solve for x
    x = 1,575,328,129.05/35,871.92
  6. Step 6: Final answer
    x = 43,915.36

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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.