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Finding the Fourth Proportional to 53,563, 73,886.16 and 33,410.20

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Solution

The fourth proportional to 53,563, 73,886.16 and 33,410.20 is: 46,086.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,563 : 73,886.16 = 33,410.20 : x
  2. Step 2: Convert to fraction form
    53,563/73,886.16 = 33,410.20/x
  3. Step 3: Cross multiply
    53,563x = 73,886.16 × 33,410.20
  4. Step 4: Simplify right side
    53,563x = 2,468,551,382.83
  5. Step 5: Solve for x
    x = 2,468,551,382.83/53,563
  6. Step 6: Final answer
    x = 46,086.88

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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.