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Finding the Fourth Proportional to 68,587.61, 102,865.82 and 33,030.78

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Solution

The fourth proportional to 68,587.61, 102,865.82 and 33,030.78 is: 49,538.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,587.61 : 102,865.82 = 33,030.78 : x
  2. Step 2: Convert to fraction form
    68,587.61/102,865.82 = 33,030.78/x
  3. Step 3: Cross multiply
    68,587.61x = 102,865.82 × 33,030.78
  4. Step 4: Simplify right side
    68,587.61x = 3,397,738,104.79
  5. Step 5: Solve for x
    x = 3,397,738,104.79/68,587.61
  6. Step 6: Final answer
    x = 49,538.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.