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Finding the Fourth Proportional to 73,959.29, 110,938.53 and 29,596.31

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Solution

The fourth proportional to 73,959.29, 110,938.53 and 29,596.31 is: 44,394.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,959.29 : 110,938.53 = 29,596.31 : x
  2. Step 2: Convert to fraction form
    73,959.29/110,938.53 = 29,596.31/x
  3. Step 3: Cross multiply
    73,959.29x = 110,938.53 × 29,596.31
  4. Step 4: Simplify right side
    73,959.29x = 3,283,371,124.82
  5. Step 5: Solve for x
    x = 3,283,371,124.82/73,959.29
  6. Step 6: Final answer
    x = 44,394.30

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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.