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Finding the Fourth Proportional to 71,227.65, 106,802.01 and 29,137.26

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Solution

The fourth proportional to 71,227.65, 106,802.01 and 29,137.26 is: 43,689.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,227.65 : 106,802.01 = 29,137.26 : x
  2. Step 2: Convert to fraction form
    71,227.65/106,802.01 = 29,137.26/x
  3. Step 3: Cross multiply
    71,227.65x = 106,802.01 × 29,137.26
  4. Step 4: Simplify right side
    71,227.65x = 3,111,917,933.89
  5. Step 5: Solve for x
    x = 3,111,917,933.89/71,227.65
  6. Step 6: Final answer
    x = 43,689.75

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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.