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Finding the Fourth Proportional to 32,874.36, 49,311.90 and 9,501

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Solution

The fourth proportional to 32,874.36, 49,311.90 and 9,501 is: 14,251.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,874.36 : 49,311.90 = 9,501 : x
  2. Step 2: Convert to fraction form
    32,874.36/49,311.90 = 9,501/x
  3. Step 3: Cross multiply
    32,874.36x = 49,311.90 × 9,501
  4. Step 4: Simplify right side
    32,874.36x = 468,512,361.90
  5. Step 5: Solve for x
    x = 468,512,361.90/32,874.36
  6. Step 6: Final answer
    x = 14,251.60

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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.