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Finding the Fourth Proportional to 38,082.63, 52,519.82 and 24,639.87

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Solution

The fourth proportional to 38,082.63, 52,519.82 and 24,639.87 is: 33,980.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,082.63 : 52,519.82 = 24,639.87 : x
  2. Step 2: Convert to fraction form
    38,082.63/52,519.82 = 24,639.87/x
  3. Step 3: Cross multiply
    38,082.63x = 52,519.82 × 24,639.87
  4. Step 4: Simplify right side
    38,082.63x = 1,294,081,537.22
  5. Step 5: Solve for x
    x = 1,294,081,537.22/38,082.63
  6. Step 6: Final answer
    x = 33,980.89

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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.