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Finding the Fourth Proportional to 62,140.30, 85,753.57 and 33,846

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Solution

The fourth proportional to 62,140.30, 85,753.57 and 33,846 is: 46,707.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,140.30 : 85,753.57 = 33,846 : x
  2. Step 2: Convert to fraction form
    62,140.30/85,753.57 = 33,846/x
  3. Step 3: Cross multiply
    62,140.30x = 85,753.57 × 33,846
  4. Step 4: Simplify right side
    62,140.30x = 2,902,415,330.22
  5. Step 5: Solve for x
    x = 2,902,415,330.22/62,140.30
  6. Step 6: Final answer
    x = 46,707.46

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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.