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Finding the Fourth Proportional to 32,091.91, 48,133.41 and 9,906.01

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Solution

The fourth proportional to 32,091.91, 48,133.41 and 9,906.01 is: 14,857.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,091.91 : 48,133.41 = 9,906.01 : x
  2. Step 2: Convert to fraction form
    32,091.91/48,133.41 = 9,906.01/x
  3. Step 3: Cross multiply
    32,091.91x = 48,133.41 × 9,906.01
  4. Step 4: Simplify right side
    32,091.91x = 476,810,040.79
  5. Step 5: Solve for x
    x = 476,810,040.79/32,091.91
  6. Step 6: Final answer
    x = 14,857.64

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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.