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Finding the Fourth Proportional to 31,998.36, 48,002.82 and 9,809.52

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Solution

The fourth proportional to 31,998.36, 48,002.82 and 9,809.52 is: 14,715.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,998.36 : 48,002.82 = 9,809.52 : x
  2. Step 2: Convert to fraction form
    31,998.36/48,002.82 = 9,809.52/x
  3. Step 3: Cross multiply
    31,998.36x = 48,002.82 × 9,809.52
  4. Step 4: Simplify right side
    31,998.36x = 470,884,622.85
  5. Step 5: Solve for x
    x = 470,884,622.85/31,998.36
  6. Step 6: Final answer
    x = 14,715.90

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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.