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Finding the Fourth Proportional to 82,548.88, 113,921.28 and 46,734.16

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Solution

The fourth proportional to 82,548.88, 113,921.28 and 46,734.16 is: 64,495.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,548.88 : 113,921.28 = 46,734.16 : x
  2. Step 2: Convert to fraction form
    82,548.88/113,921.28 = 46,734.16/x
  3. Step 3: Cross multiply
    82,548.88x = 113,921.28 × 46,734.16
  4. Step 4: Simplify right side
    82,548.88x = 5,324,015,326.92
  5. Step 5: Solve for x
    x = 5,324,015,326.92/82,548.88
  6. Step 6: Final answer
    x = 64,495.31

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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.