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Finding the Fourth Proportional to 52,452, 72,384.48 and 30,096

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Solution

The fourth proportional to 52,452, 72,384.48 and 30,096 is: 41,532.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,452 : 72,384.48 = 30,096 : x
  2. Step 2: Convert to fraction form
    52,452/72,384.48 = 30,096/x
  3. Step 3: Cross multiply
    52,452x = 72,384.48 × 30,096
  4. Step 4: Simplify right side
    52,452x = 2,178,483,310.08
  5. Step 5: Solve for x
    x = 2,178,483,310.08/52,452
  6. Step 6: Final answer
    x = 41,532.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.