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Finding the Fourth Proportional to 32,584.62, 48,793.15 and 22,575.11

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Solution

The fourth proportional to 32,584.62, 48,793.15 and 22,575.11 is: 33,804.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,584.62 : 48,793.15 = 22,575.11 : x
  2. Step 2: Convert to fraction form
    32,584.62/48,793.15 = 22,575.11/x
  3. Step 3: Cross multiply
    32,584.62x = 48,793.15 × 22,575.11
  4. Step 4: Simplify right side
    32,584.62x = 1,101,510,417.51
  5. Step 5: Solve for x
    x = 1,101,510,417.51/32,584.62
  6. Step 6: Final answer
    x = 33,804.61

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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.