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Finding the Fourth Proportional to 31,998.42, 48,005.02 and 9,815.04

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Solution

The fourth proportional to 31,998.42, 48,005.02 and 9,815.04 is: 14,724.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,998.42 : 48,005.02 = 9,815.04 : x
  2. Step 2: Convert to fraction form
    31,998.42/48,005.02 = 9,815.04/x
  3. Step 3: Cross multiply
    31,998.42x = 48,005.02 × 9,815.04
  4. Step 4: Simplify right side
    31,998.42x = 471,171,191.50
  5. Step 5: Solve for x
    x = 471,171,191.50/31,998.42
  6. Step 6: Final answer
    x = 14,724.83

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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.