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Finding the Fourth Proportional to 33,082.60, 49,623.90 and 21,807.40

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Solution

The fourth proportional to 33,082.60, 49,623.90 and 21,807.40 is: 32,711.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,082.60 : 49,623.90 = 21,807.40 : x
  2. Step 2: Convert to fraction form
    33,082.60/49,623.90 = 21,807.40/x
  3. Step 3: Cross multiply
    33,082.60x = 49,623.90 × 21,807.40
  4. Step 4: Simplify right side
    33,082.60x = 1,082,168,236.86
  5. Step 5: Solve for x
    x = 1,082,168,236.86/33,082.60
  6. Step 6: Final answer
    x = 32,711.10

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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.