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Finding the Fourth Proportional to 35,253, 52,874.29 and 10,286.35

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Solution

The fourth proportional to 35,253, 52,874.29 and 10,286.35 is: 15,428.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,253 : 52,874.29 = 10,286.35 : x
  2. Step 2: Convert to fraction form
    35,253/52,874.29 = 10,286.35/x
  3. Step 3: Cross multiply
    35,253x = 52,874.29 × 10,286.35
  4. Step 4: Simplify right side
    35,253x = 543,883,452.94
  5. Step 5: Solve for x
    x = 543,883,452.94/35,253
  6. Step 6: Final answer
    x = 15,428.00

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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.