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Finding the Fourth Proportional to 55,805.76, 76,967.39 and 36,705.14

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Solution

The fourth proportional to 55,805.76, 76,967.39 and 36,705.14 is: 50,623.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,805.76 : 76,967.39 = 36,705.14 : x
  2. Step 2: Convert to fraction form
    55,805.76/76,967.39 = 36,705.14/x
  3. Step 3: Cross multiply
    55,805.76x = 76,967.39 × 36,705.14
  4. Step 4: Simplify right side
    55,805.76x = 2,825,098,825.38
  5. Step 5: Solve for x
    x = 2,825,098,825.38/55,805.76
  6. Step 6: Final answer
    x = 50,623.79

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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.