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Finding the Fourth Proportional to 62,165.78, 85,788.78 and 33,871.46

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Solution

The fourth proportional to 62,165.78, 85,788.78 and 33,871.46 is: 46,742.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,165.78 : 85,788.78 = 33,871.46 : x
  2. Step 2: Convert to fraction form
    62,165.78/85,788.78 = 33,871.46/x
  3. Step 3: Cross multiply
    62,165.78x = 85,788.78 × 33,871.46
  4. Step 4: Simplify right side
    62,165.78x = 2,905,791,230.22
  5. Step 5: Solve for x
    x = 2,905,791,230.22/62,165.78
  6. Step 6: Final answer
    x = 46,742.62

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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.