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Finding the Fourth Proportional to 71,035.36, 106,383.34 and 39,366.86

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Solution

The fourth proportional to 71,035.36, 106,383.34 and 39,366.86 is: 58,956.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,035.36 : 106,383.34 = 39,366.86 : x
  2. Step 2: Convert to fraction form
    71,035.36/106,383.34 = 39,366.86/x
  3. Step 3: Cross multiply
    71,035.36x = 106,383.34 × 39,366.86
  4. Step 4: Simplify right side
    71,035.36x = 4,187,977,569.40
  5. Step 5: Solve for x
    x = 4,187,977,569.40/71,035.36
  6. Step 6: Final answer
    x = 58,956.24

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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.