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Finding the Fourth Proportional to 62,270.76, 85,936.23 and 35,418

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Solution

The fourth proportional to 62,270.76, 85,936.23 and 35,418 is: 48,878.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,270.76 : 85,936.23 = 35,418 : x
  2. Step 2: Convert to fraction form
    62,270.76/85,936.23 = 35,418/x
  3. Step 3: Cross multiply
    62,270.76x = 85,936.23 × 35,418
  4. Step 4: Simplify right side
    62,270.76x = 3,043,689,394.14
  5. Step 5: Solve for x
    x = 3,043,689,394.14/62,270.76
  6. Step 6: Final answer
    x = 48,878.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.