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Finding the Fourth Proportional to 61,932.30, 85,465.17 and 33,637.38

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Solution

The fourth proportional to 61,932.30, 85,465.17 and 33,637.38 is: 46,418.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,932.30 : 85,465.17 = 33,637.38 : x
  2. Step 2: Convert to fraction form
    61,932.30/85,465.17 = 33,637.38/x
  3. Step 3: Cross multiply
    61,932.30x = 85,465.17 × 33,637.38
  4. Step 4: Simplify right side
    61,932.30x = 2,874,824,400.05
  5. Step 5: Solve for x
    x = 2,874,824,400.05/61,932.30
  6. Step 6: Final answer
    x = 46,418.82

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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.