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Finding the Fourth Proportional to 62,142.63, 85,757.16 and 33,848.38

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Solution

The fourth proportional to 62,142.63, 85,757.16 and 33,848.38 is: 46,710.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,142.63 : 85,757.16 = 33,848.38 : x
  2. Step 2: Convert to fraction form
    62,142.63/85,757.16 = 33,848.38/x
  3. Step 3: Cross multiply
    62,142.63x = 85,757.16 × 33,848.38
  4. Step 4: Simplify right side
    62,142.63x = 2,902,740,939.40
  5. Step 5: Solve for x
    x = 2,902,740,939.40/62,142.63
  6. Step 6: Final answer
    x = 46,710.94

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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.