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Finding the Fourth Proportional to 54,883.32, 75,739.50 and 29,733

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Solution

The fourth proportional to 54,883.32, 75,739.50 and 29,733 is: 41,031.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,883.32 : 75,739.50 = 29,733 : x
  2. Step 2: Convert to fraction form
    54,883.32/75,739.50 = 29,733/x
  3. Step 3: Cross multiply
    54,883.32x = 75,739.50 × 29,733
  4. Step 4: Simplify right side
    54,883.32x = 2,251,962,553.50
  5. Step 5: Solve for x
    x = 2,251,962,553.50/54,883.32
  6. Step 6: Final answer
    x = 41,031.82

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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.