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Finding the Fourth Proportional to 31,600.78, 47,410.04 and 13,833

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Solution

The fourth proportional to 31,600.78, 47,410.04 and 13,833 is: 20,753.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,600.78 : 47,410.04 = 13,833 : x
  2. Step 2: Convert to fraction form
    31,600.78/47,410.04 = 13,833/x
  3. Step 3: Cross multiply
    31,600.78x = 47,410.04 × 13,833
  4. Step 4: Simplify right side
    31,600.78x = 655,823,083.32
  5. Step 5: Solve for x
    x = 655,823,083.32/31,600.78
  6. Step 6: Final answer
    x = 20,753.38

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Why These Related Problems?

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