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Finding the Fourth Proportional to 32,274.76, 48,406.38 and 8,582.44

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Solution

The fourth proportional to 32,274.76, 48,406.38 and 8,582.44 is: 12,872.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,274.76 : 48,406.38 = 8,582.44 : x
  2. Step 2: Convert to fraction form
    32,274.76/48,406.38 = 8,582.44/x
  3. Step 3: Cross multiply
    32,274.76x = 48,406.38 × 8,582.44
  4. Step 4: Simplify right side
    32,274.76x = 415,444,851.97
  5. Step 5: Solve for x
    x = 415,444,851.97/32,274.76
  6. Step 6: Final answer
    x = 12,872.13

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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.