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Finding the Fourth Proportional to 82,534.33, 113,896.39 and 46,731.32

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Solution

The fourth proportional to 82,534.33, 113,896.39 and 46,731.32 is: 64,488.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,534.33 : 113,896.39 = 46,731.32 : x
  2. Step 2: Convert to fraction form
    82,534.33/113,896.39 = 46,731.32/x
  3. Step 3: Cross multiply
    82,534.33x = 113,896.39 × 46,731.32
  4. Step 4: Simplify right side
    82,534.33x = 5,322,528,647.93
  5. Step 5: Solve for x
    x = 5,322,528,647.93/82,534.33
  6. Step 6: Final answer
    x = 64,488.66

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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.