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Finding the Fourth Proportional to 82,411.92, 113,713.62 and 46,114.10

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Solution

The fourth proportional to 82,411.92, 113,713.62 and 46,114.10 is: 63,629.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,411.92 : 113,713.62 = 46,114.10 : x
  2. Step 2: Convert to fraction form
    82,411.92/113,713.62 = 46,114.10/x
  3. Step 3: Cross multiply
    82,411.92x = 113,713.62 × 46,114.10
  4. Step 4: Simplify right side
    82,411.92x = 5,243,800,675.47
  5. Step 5: Solve for x
    x = 5,243,800,675.47/82,411.92
  6. Step 6: Final answer
    x = 63,629.15

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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.