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Finding the Fourth Proportional to 34,982, 52,481.88 and 10,358

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Solution

The fourth proportional to 34,982, 52,481.88 and 10,358 is: 15,539.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,982 : 52,481.88 = 10,358 : x
  2. Step 2: Convert to fraction form
    34,982/52,481.88 = 10,358/x
  3. Step 3: Cross multiply
    34,982x = 52,481.88 × 10,358
  4. Step 4: Simplify right side
    34,982x = 543,607,313.04
  5. Step 5: Solve for x
    x = 543,607,313.04/34,982
  6. Step 6: Final answer
    x = 15,539.63

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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.