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Finding the Fourth Proportional to 34,805.58, 52,211.52 and 9,845.97

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Solution

The fourth proportional to 34,805.58, 52,211.52 and 9,845.97 is: 14,769.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,805.58 : 52,211.52 = 9,845.97 : x
  2. Step 2: Convert to fraction form
    34,805.58/52,211.52 = 9,845.97/x
  3. Step 3: Cross multiply
    34,805.58x = 52,211.52 × 9,845.97
  4. Step 4: Simplify right side
    34,805.58x = 514,073,059.57
  5. Step 5: Solve for x
    x = 514,073,059.57/34,805.58
  6. Step 6: Final answer
    x = 14,769.85

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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.