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Finding the Fourth Proportional to 82,138.13, 113,343.81 and 46,336.94

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Solution

The fourth proportional to 82,138.13, 113,343.81 and 46,336.94 is: 63,941.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,138.13 : 113,343.81 = 46,336.94 : x
  2. Step 2: Convert to fraction form
    82,138.13/113,343.81 = 46,336.94/x
  3. Step 3: Cross multiply
    82,138.13x = 113,343.81 × 46,336.94
  4. Step 4: Simplify right side
    82,138.13x = 5,252,005,007.90
  5. Step 5: Solve for x
    x = 5,252,005,007.90/82,138.13
  6. Step 6: Final answer
    x = 63,941.13

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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.