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Finding the Fourth Proportional to 52,948.38, 73,020.02 and 35,978.07

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Solution

The fourth proportional to 52,948.38, 73,020.02 and 35,978.07 is: 49,616.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,948.38 : 73,020.02 = 35,978.07 : x
  2. Step 2: Convert to fraction form
    52,948.38/73,020.02 = 35,978.07/x
  3. Step 3: Cross multiply
    52,948.38x = 73,020.02 × 35,978.07
  4. Step 4: Simplify right side
    52,948.38x = 2,627,119,211.07
  5. Step 5: Solve for x
    x = 2,627,119,211.07/52,948.38
  6. Step 6: Final answer
    x = 49,616.61

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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.