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Finding the Fourth Proportional to 53,950.25, 74,450.49 and 30,078.38

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Solution

The fourth proportional to 53,950.25, 74,450.49 and 30,078.38 is: 41,507.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,950.25 : 74,450.49 = 30,078.38 : x
  2. Step 2: Convert to fraction form
    53,950.25/74,450.49 = 30,078.38/x
  3. Step 3: Cross multiply
    53,950.25x = 74,450.49 × 30,078.38
  4. Step 4: Simplify right side
    53,950.25x = 2,239,350,129.41
  5. Step 5: Solve for x
    x = 2,239,350,129.41/53,950.25
  6. Step 6: Final answer
    x = 41,507.69

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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.