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Finding the Fourth Proportional to 82,439.38, 113,766.35 and 46,628.62

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Solution

The fourth proportional to 82,439.38, 113,766.35 and 46,628.62 is: 64,347.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,439.38 : 113,766.35 = 46,628.62 : x
  2. Step 2: Convert to fraction form
    82,439.38/113,766.35 = 46,628.62/x
  3. Step 3: Cross multiply
    82,439.38x = 113,766.35 × 46,628.62
  4. Step 4: Simplify right side
    82,439.38x = 5,304,767,902.94
  5. Step 5: Solve for x
    x = 5,304,767,902.94/82,439.38
  6. Step 6: Final answer
    x = 64,347.50

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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.