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Finding the Fourth Proportional to 106,513.92, 159,795.35 and 31,632.42

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Solution

The fourth proportional to 106,513.92, 159,795.35 and 31,632.42 is: 47,455.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,513.92 : 159,795.35 = 31,632.42 : x
  2. Step 2: Convert to fraction form
    106,513.92/159,795.35 = 31,632.42/x
  3. Step 3: Cross multiply
    106,513.92x = 159,795.35 × 31,632.42
  4. Step 4: Simplify right side
    106,513.92x = 5,054,714,184.94
  5. Step 5: Solve for x
    x = 5,054,714,184.94/106,513.92
  6. Step 6: Final answer
    x = 47,455.90

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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.