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Finding the Fourth Proportional to 31,499.72, 47,235.42 and 9,305.36

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Solution

The fourth proportional to 31,499.72, 47,235.42 and 9,305.36 is: 13,953.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,499.72 : 47,235.42 = 9,305.36 : x
  2. Step 2: Convert to fraction form
    31,499.72/47,235.42 = 9,305.36/x
  3. Step 3: Cross multiply
    31,499.72x = 47,235.42 × 9,305.36
  4. Step 4: Simplify right side
    31,499.72x = 439,542,587.85
  5. Step 5: Solve for x
    x = 439,542,587.85/31,499.72
  6. Step 6: Final answer
    x = 13,953.86

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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.