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Finding the Fourth Proportional to 32,874.40, 49,364.40 and 30,448.80

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Solution

The fourth proportional to 32,874.40, 49,364.40 and 30,448.80 is: 45,722.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,874.40 : 49,364.40 = 30,448.80 : x
  2. Step 2: Convert to fraction form
    32,874.40/49,364.40 = 30,448.80/x
  3. Step 3: Cross multiply
    32,874.40x = 49,364.40 × 30,448.80
  4. Step 4: Simplify right side
    32,874.40x = 1,503,086,742.72
  5. Step 5: Solve for x
    x = 1,503,086,742.72/32,874.40
  6. Step 6: Final answer
    x = 45,722.10

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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.