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Finding the Fourth Proportional to 41,754.78, 62,635.80 and 10,590

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Solution

The fourth proportional to 41,754.78, 62,635.80 and 10,590 is: 15,885.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,754.78 : 62,635.80 = 10,590 : x
  2. Step 2: Convert to fraction form
    41,754.78/62,635.80 = 10,590/x
  3. Step 3: Cross multiply
    41,754.78x = 62,635.80 × 10,590
  4. Step 4: Simplify right side
    41,754.78x = 663,313,122
  5. Step 5: Solve for x
    x = 663,313,122/41,754.78
  6. Step 6: Final answer
    x = 15,885.92

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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.