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Finding the Fourth Proportional to 35,022, 52,533 and 10,398

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Solution

The fourth proportional to 35,022, 52,533 and 10,398 is: 15,597

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,022 : 52,533 = 10,398 : x
  2. Step 2: Convert to fraction form
    35,022/52,533 = 10,398/x
  3. Step 3: Cross multiply
    35,022x = 52,533 × 10,398
  4. Step 4: Simplify right side
    35,022x = 546,238,134
  5. Step 5: Solve for x
    x = 546,238,134/35,022
  6. Step 6: Final answer
    x = 15,597

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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.