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Finding the Fourth Proportional to 82,233.84, 113,476.36 and 46,427.38

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Solution

The fourth proportional to 82,233.84, 113,476.36 and 46,427.38 is: 64,066.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,233.84 : 113,476.36 = 46,427.38 : x
  2. Step 2: Convert to fraction form
    82,233.84/113,476.36 = 46,427.38/x
  3. Step 3: Cross multiply
    82,233.84x = 113,476.36 × 46,427.38
  4. Step 4: Simplify right side
    82,233.84x = 5,268,410,086.74
  5. Step 5: Solve for x
    x = 5,268,410,086.74/82,233.84
  6. Step 6: Final answer
    x = 64,066.21

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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.