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Finding the Fourth Proportional to 54,750.24, 75,555 and 29,599.68

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Solution

The fourth proportional to 54,750.24, 75,555 and 29,599.68 is: 40,847.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,750.24 : 75,555 = 29,599.68 : x
  2. Step 2: Convert to fraction form
    54,750.24/75,555 = 29,599.68/x
  3. Step 3: Cross multiply
    54,750.24x = 75,555 × 29,599.68
  4. Step 4: Simplify right side
    54,750.24x = 2,236,403,822.40
  5. Step 5: Solve for x
    x = 2,236,403,822.40/54,750.24
  6. Step 6: Final answer
    x = 40,847.38

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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.