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Finding the Fourth Proportional to 82,120.82, 113,323.28 and 46,314.16

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Solution

The fourth proportional to 82,120.82, 113,323.28 and 46,314.16 is: 63,911.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,120.82 : 113,323.28 = 46,314.16 : x
  2. Step 2: Convert to fraction form
    82,120.82/113,323.28 = 46,314.16/x
  3. Step 3: Cross multiply
    82,120.82x = 113,323.28 × 46,314.16
  4. Step 4: Simplify right side
    82,120.82x = 5,248,471,723.46
  5. Step 5: Solve for x
    x = 5,248,471,723.46/82,120.82
  6. Step 6: Final answer
    x = 63,911.59

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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.