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Finding the Fourth Proportional to 62,884, 86,780.50 and 34,203.94

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Solution

The fourth proportional to 62,884, 86,780.50 and 34,203.94 is: 47,201.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,884 : 86,780.50 = 34,203.94 : x
  2. Step 2: Convert to fraction form
    62,884/86,780.50 = 34,203.94/x
  3. Step 3: Cross multiply
    62,884x = 86,780.50 × 34,203.94
  4. Step 4: Simplify right side
    62,884x = 2,968,235,015.17
  5. Step 5: Solve for x
    x = 2,968,235,015.17/62,884
  6. Step 6: Final answer
    x = 47,201.75

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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.