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Finding the Fourth Proportional to 82,232.84, 113,474.98 and 46,426.38

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Solution

The fourth proportional to 82,232.84, 113,474.98 and 46,426.38 is: 64,064.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,232.84 : 113,474.98 = 46,426.38 : x
  2. Step 2: Convert to fraction form
    82,232.84/113,474.98 = 46,426.38/x
  3. Step 3: Cross multiply
    82,232.84x = 113,474.98 × 46,426.38
  4. Step 4: Simplify right side
    82,232.84x = 5,268,232,541.97
  5. Step 5: Solve for x
    x = 5,268,232,541.97/82,232.84
  6. Step 6: Final answer
    x = 64,064.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.