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Finding the Fourth Proportional to 62,204.52, 85,842 and 33,911.76

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Solution

The fourth proportional to 62,204.52, 85,842 and 33,911.76 is: 46,798.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,204.52 : 85,842 = 33,911.76 : x
  2. Step 2: Convert to fraction form
    62,204.52/85,842 = 33,911.76/x
  3. Step 3: Cross multiply
    62,204.52x = 85,842 × 33,911.76
  4. Step 4: Simplify right side
    62,204.52x = 2,911,053,301.92
  5. Step 5: Solve for x
    x = 2,911,053,301.92/62,204.52
  6. Step 6: Final answer
    x = 46,798.10

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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.