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Finding the Fourth Proportional to 53,882.38, 74,331.93 and 41,863.47

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Solution

The fourth proportional to 53,882.38, 74,331.93 and 41,863.47 is: 57,751.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,882.38 : 74,331.93 = 41,863.47 : x
  2. Step 2: Convert to fraction form
    53,882.38/74,331.93 = 41,863.47/x
  3. Step 3: Cross multiply
    53,882.38x = 74,331.93 × 41,863.47
  4. Step 4: Simplify right side
    53,882.38x = 3,111,792,521.60
  5. Step 5: Solve for x
    x = 3,111,792,521.60/53,882.38
  6. Step 6: Final answer
    x = 57,751.58

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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.