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Finding the Fourth Proportional to 32,582.70, 48,878.28 and 9,209.73

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Solution

The fourth proportional to 32,582.70, 48,878.28 and 9,209.73 is: 13,815.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,582.70 : 48,878.28 = 9,209.73 : x
  2. Step 2: Convert to fraction form
    32,582.70/48,878.28 = 9,209.73/x
  3. Step 3: Cross multiply
    32,582.70x = 48,878.28 × 9,209.73
  4. Step 4: Simplify right side
    32,582.70x = 450,155,761.66
  5. Step 5: Solve for x
    x = 450,155,761.66/32,582.70
  6. Step 6: Final answer
    x = 13,815.79

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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.