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Finding the Fourth Proportional to 52,246.38, 71,936.12 and 46,107.80

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Solution

The fourth proportional to 52,246.38, 71,936.12 and 46,107.80 is: 63,484.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,246.38 : 71,936.12 = 46,107.80 : x
  2. Step 2: Convert to fraction form
    52,246.38/71,936.12 = 46,107.80/x
  3. Step 3: Cross multiply
    52,246.38x = 71,936.12 × 46,107.80
  4. Step 4: Simplify right side
    52,246.38x = 3,316,816,233.74
  5. Step 5: Solve for x
    x = 3,316,816,233.74/52,246.38
  6. Step 6: Final answer
    x = 63,484.13

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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.