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Finding the Fourth Proportional to 53,876.32, 74,313.72 and 33,698.18

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Solution

The fourth proportional to 53,876.32, 74,313.72 and 33,698.18 is: 46,481.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,876.32 : 74,313.72 = 33,698.18 : x
  2. Step 2: Convert to fraction form
    53,876.32/74,313.72 = 33,698.18/x
  3. Step 3: Cross multiply
    53,876.32x = 74,313.72 × 33,698.18
  4. Step 4: Simplify right side
    53,876.32x = 2,504,237,113.03
  5. Step 5: Solve for x
    x = 2,504,237,113.03/53,876.32
  6. Step 6: Final answer
    x = 46,481.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.