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Finding the Fourth Proportional to 71,769.24, 107,710.29 and 49,737.51

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Solution

The fourth proportional to 71,769.24, 107,710.29 and 49,737.51 is: 74,645.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,769.24 : 107,710.29 = 49,737.51 : x
  2. Step 2: Convert to fraction form
    71,769.24/107,710.29 = 49,737.51/x
  3. Step 3: Cross multiply
    71,769.24x = 107,710.29 × 49,737.51
  4. Step 4: Simplify right side
    71,769.24x = 5,357,241,625.98
  5. Step 5: Solve for x
    x = 5,357,241,625.98/71,769.24
  6. Step 6: Final answer
    x = 74,645.37

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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.