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Finding the Fourth Proportional to 82,212.16, 113,447.42 and 46,397.30

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Solution

The fourth proportional to 82,212.16, 113,447.42 and 46,397.30 is: 64,025.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,212.16 : 113,447.42 = 46,397.30 : x
  2. Step 2: Convert to fraction form
    82,212.16/113,447.42 = 46,397.30/x
  3. Step 3: Cross multiply
    82,212.16x = 113,447.42 × 46,397.30
  4. Step 4: Simplify right side
    82,212.16x = 5,263,653,979.97
  5. Step 5: Solve for x
    x = 5,263,653,979.97/82,212.16
  6. Step 6: Final answer
    x = 64,025.25

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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.