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Finding the Fourth Proportional to 55,876.88, 77,109 and 30,725.84

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Solution

The fourth proportional to 55,876.88, 77,109 and 30,725.84 is: 42,401.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,876.88 : 77,109 = 30,725.84 : x
  2. Step 2: Convert to fraction form
    55,876.88/77,109 = 30,725.84/x
  3. Step 3: Cross multiply
    55,876.88x = 77,109 × 30,725.84
  4. Step 4: Simplify right side
    55,876.88x = 2,369,238,796.56
  5. Step 5: Solve for x
    x = 2,369,238,796.56/55,876.88
  6. Step 6: Final answer
    x = 42,401.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.