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Finding the Fourth Proportional to 54,682.84, 75,462.33 and 29,532.34

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Solution

The fourth proportional to 54,682.84, 75,462.33 and 29,532.34 is: 40,754.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,682.84 : 75,462.33 = 29,532.34 : x
  2. Step 2: Convert to fraction form
    54,682.84/75,462.33 = 29,532.34/x
  3. Step 3: Cross multiply
    54,682.84x = 75,462.33 × 29,532.34
  4. Step 4: Simplify right side
    54,682.84x = 2,228,579,186.75
  5. Step 5: Solve for x
    x = 2,228,579,186.75/54,682.84
  6. Step 6: Final answer
    x = 40,754.64

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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.