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Finding the Fourth Proportional to 31,908.72, 47,863.10 and 14,358.05

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Solution

The fourth proportional to 31,908.72, 47,863.10 and 14,358.05 is: 21,537.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,908.72 : 47,863.10 = 14,358.05 : x
  2. Step 2: Convert to fraction form
    31,908.72/47,863.10 = 14,358.05/x
  3. Step 3: Cross multiply
    31,908.72x = 47,863.10 × 14,358.05
  4. Step 4: Simplify right side
    31,908.72x = 687,220,782.96
  5. Step 5: Solve for x
    x = 687,220,782.96/31,908.72
  6. Step 6: Final answer
    x = 21,537.08

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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.