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Finding the Fourth Proportional to 31,511.52, 47,234.16 and 29,871

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Solution

The fourth proportional to 31,511.52, 47,234.16 and 29,871 is: 44,775.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,511.52 : 47,234.16 = 29,871 : x
  2. Step 2: Convert to fraction form
    31,511.52/47,234.16 = 29,871/x
  3. Step 3: Cross multiply
    31,511.52x = 47,234.16 × 29,871
  4. Step 4: Simplify right side
    31,511.52x = 1,410,931,593.36
  5. Step 5: Solve for x
    x = 1,410,931,593.36/31,511.52
  6. Step 6: Final answer
    x = 44,775.10

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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.