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Finding the Fourth Proportional to 61,732.92, 85,191.14 and 33,438.66

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Solution

The fourth proportional to 61,732.92, 85,191.14 and 33,438.66 is: 46,145.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,732.92 : 85,191.14 = 33,438.66 : x
  2. Step 2: Convert to fraction form
    61,732.92/85,191.14 = 33,438.66/x
  3. Step 3: Cross multiply
    61,732.92x = 85,191.14 × 33,438.66
  4. Step 4: Simplify right side
    61,732.92x = 2,848,677,565.47
  5. Step 5: Solve for x
    x = 2,848,677,565.47/61,732.92
  6. Step 6: Final answer
    x = 46,145.19

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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.