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Finding the Fourth Proportional to 34,901, 52,361.10 and 10,277

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Solution

The fourth proportional to 34,901, 52,361.10 and 10,277 is: 15,418.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,901 : 52,361.10 = 10,277 : x
  2. Step 2: Convert to fraction form
    34,901/52,361.10 = 10,277/x
  3. Step 3: Cross multiply
    34,901x = 52,361.10 × 10,277
  4. Step 4: Simplify right side
    34,901x = 538,115,024.70
  5. Step 5: Solve for x
    x = 538,115,024.70/34,901
  6. Step 6: Final answer
    x = 15,418.33

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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.