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Finding the Fourth Proportional to 62,165.22, 85,788.63 and 33,871.38

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Solution

The fourth proportional to 62,165.22, 85,788.63 and 33,871.38 is: 46,742.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,165.22 : 85,788.63 = 33,871.38 : x
  2. Step 2: Convert to fraction form
    62,165.22/85,788.63 = 33,871.38/x
  3. Step 3: Cross multiply
    62,165.22x = 85,788.63 × 33,871.38
  4. Step 4: Simplify right side
    62,165.22x = 2,905,779,286.41
  5. Step 5: Solve for x
    x = 2,905,779,286.41/62,165.22
  6. Step 6: Final answer
    x = 46,742.85

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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.