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Finding the Fourth Proportional to 53,082.78, 79,624.17 and 18,022.74

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Solution

The fourth proportional to 53,082.78, 79,624.17 and 18,022.74 is: 27,034.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,082.78 : 79,624.17 = 18,022.74 : x
  2. Step 2: Convert to fraction form
    53,082.78/79,624.17 = 18,022.74/x
  3. Step 3: Cross multiply
    53,082.78x = 79,624.17 × 18,022.74
  4. Step 4: Simplify right side
    53,082.78x = 1,435,045,713.63
  5. Step 5: Solve for x
    x = 1,435,045,713.63/53,082.78
  6. Step 6: Final answer
    x = 27,034.11

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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.