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Finding the Fourth Proportional to 54,931.50, 82,421.82 and 25,333.44

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Solution

The fourth proportional to 54,931.50, 82,421.82 and 25,333.44 is: 38,011.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,931.50 : 82,421.82 = 25,333.44 : x
  2. Step 2: Convert to fraction form
    54,931.50/82,421.82 = 25,333.44/x
  3. Step 3: Cross multiply
    54,931.50x = 82,421.82 × 25,333.44
  4. Step 4: Simplify right side
    54,931.50x = 2,088,028,231.66
  5. Step 5: Solve for x
    x = 2,088,028,231.66/54,931.50
  6. Step 6: Final answer
    x = 38,011.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.