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Finding the Fourth Proportional to 54,881.84, 82,327.80 and 25,307.84

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Solution

The fourth proportional to 54,881.84, 82,327.80 and 25,307.84 is: 37,964.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,881.84 : 82,327.80 = 25,307.84 : x
  2. Step 2: Convert to fraction form
    54,881.84/82,327.80 = 25,307.84/x
  3. Step 3: Cross multiply
    54,881.84x = 82,327.80 × 25,307.84
  4. Step 4: Simplify right side
    54,881.84x = 2,083,538,789.95
  5. Step 5: Solve for x
    x = 2,083,538,789.95/54,881.84
  6. Step 6: Final answer
    x = 37,964.08

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Why These Related Problems?

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