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Finding the Fourth Proportional to 69,762.96, 104,569.92 and 50,742

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Solution

The fourth proportional to 69,762.96, 104,569.92 and 50,742 is: 76,058.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,762.96 : 104,569.92 = 50,742 : x
  2. Step 2: Convert to fraction form
    69,762.96/104,569.92 = 50,742/x
  3. Step 3: Cross multiply
    69,762.96x = 104,569.92 × 50,742
  4. Step 4: Simplify right side
    69,762.96x = 5,306,086,880.64
  5. Step 5: Solve for x
    x = 5,306,086,880.64/69,762.96
  6. Step 6: Final answer
    x = 76,058.80

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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.