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Finding the Fourth Proportional to 107,137.72, 160,737.96 and 47,960.20

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Solution

The fourth proportional to 107,137.72, 160,737.96 and 47,960.20 is: 71,954.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,137.72 : 160,737.96 = 47,960.20 : x
  2. Step 2: Convert to fraction form
    107,137.72/160,737.96 = 47,960.20/x
  3. Step 3: Cross multiply
    107,137.72x = 160,737.96 × 47,960.20
  4. Step 4: Simplify right side
    107,137.72x = 7,709,024,709.19
  5. Step 5: Solve for x
    x = 7,709,024,709.19/107,137.72
  6. Step 6: Final answer
    x = 71,954.35

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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.