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Finding the Fourth Proportional to 32,865.60, 49,233.60 and 30,532.80

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Solution

The fourth proportional to 32,865.60, 49,233.60 and 30,532.80 is: 45,739.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,865.60 : 49,233.60 = 30,532.80 : x
  2. Step 2: Convert to fraction form
    32,865.60/49,233.60 = 30,532.80/x
  3. Step 3: Cross multiply
    32,865.60x = 49,233.60 × 30,532.80
  4. Step 4: Simplify right side
    32,865.60x = 1,503,239,662.08
  5. Step 5: Solve for x
    x = 1,503,239,662.08/32,865.60
  6. Step 6: Final answer
    x = 45,739.00

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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.