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Finding the Fourth Proportional to 31,833.12, 47,749.72 and 11,042

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Solution

The fourth proportional to 31,833.12, 47,749.72 and 11,042 is: 16,563.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,833.12 : 47,749.72 = 11,042 : x
  2. Step 2: Convert to fraction form
    31,833.12/47,749.72 = 11,042/x
  3. Step 3: Cross multiply
    31,833.12x = 47,749.72 × 11,042
  4. Step 4: Simplify right side
    31,833.12x = 527,252,408.24
  5. Step 5: Solve for x
    x = 527,252,408.24/31,833.12
  6. Step 6: Final answer
    x = 16,563.01

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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.