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Finding the Fourth Proportional to 53,693.38, 74,091.45 and 31,350.34

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Solution

The fourth proportional to 53,693.38, 74,091.45 and 31,350.34 is: 43,260.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,693.38 : 74,091.45 = 31,350.34 : x
  2. Step 2: Convert to fraction form
    53,693.38/74,091.45 = 31,350.34/x
  3. Step 3: Cross multiply
    53,693.38x = 74,091.45 × 31,350.34
  4. Step 4: Simplify right side
    53,693.38x = 2,322,792,148.59
  5. Step 5: Solve for x
    x = 2,322,792,148.59/53,693.38
  6. Step 6: Final answer
    x = 43,260.31

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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.