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Finding the Fourth Proportional to 32,584.60, 48,812.10 and 30,251.80

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Solution

The fourth proportional to 32,584.60, 48,812.10 and 30,251.80 is: 45,317.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,584.60 : 48,812.10 = 30,251.80 : x
  2. Step 2: Convert to fraction form
    32,584.60/48,812.10 = 30,251.80/x
  3. Step 3: Cross multiply
    32,584.60x = 48,812.10 × 30,251.80
  4. Step 4: Simplify right side
    32,584.60x = 1,476,653,886.78
  5. Step 5: Solve for x
    x = 1,476,653,886.78/32,584.60
  6. Step 6: Final answer
    x = 45,317.54

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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.