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Finding the Fourth Proportional to 74,427.84, 111,593.52 and 39,384

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Solution

The fourth proportional to 74,427.84, 111,593.52 and 39,384 is: 59,050.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,427.84 : 111,593.52 = 39,384 : x
  2. Step 2: Convert to fraction form
    74,427.84/111,593.52 = 39,384/x
  3. Step 3: Cross multiply
    74,427.84x = 111,593.52 × 39,384
  4. Step 4: Simplify right side
    74,427.84x = 4,394,999,191.68
  5. Step 5: Solve for x
    x = 4,394,999,191.68/74,427.84
  6. Step 6: Final answer
    x = 59,050.47

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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.