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Finding the Fourth Proportional to 54,777.56, 75,592.98 and 29,627

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Solution

The fourth proportional to 54,777.56, 75,592.98 and 29,627 is: 40,885.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,777.56 : 75,592.98 = 29,627 : x
  2. Step 2: Convert to fraction form
    54,777.56/75,592.98 = 29,627/x
  3. Step 3: Cross multiply
    54,777.56x = 75,592.98 × 29,627
  4. Step 4: Simplify right side
    54,777.56x = 2,239,593,218.46
  5. Step 5: Solve for x
    x = 2,239,593,218.46/54,777.56
  6. Step 6: Final answer
    x = 40,885.23

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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.