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Finding the Fourth Proportional to 32,076.50, 48,078.90 and 13,343.79

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Solution

The fourth proportional to 32,076.50, 48,078.90 and 13,343.79 is: 20,000.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,076.50 : 48,078.90 = 13,343.79 : x
  2. Step 2: Convert to fraction form
    32,076.50/48,078.90 = 13,343.79/x
  3. Step 3: Cross multiply
    32,076.50x = 48,078.90 × 13,343.79
  4. Step 4: Simplify right side
    32,076.50x = 641,554,745.03
  5. Step 5: Solve for x
    x = 641,554,745.03/32,076.50
  6. Step 6: Final answer
    x = 20,000.77

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1.5x scale

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.