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Finding the Fourth Proportional to 106,515.92, 159,798.34 and 31,634.42

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Solution

The fourth proportional to 106,515.92, 159,798.34 and 31,634.42 is: 47,458.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,515.92 : 159,798.34 = 31,634.42 : x
  2. Step 2: Convert to fraction form
    106,515.92/159,798.34 = 31,634.42/x
  3. Step 3: Cross multiply
    106,515.92x = 159,798.34 × 31,634.42
  4. Step 4: Simplify right side
    106,515.92x = 5,055,127,802.86
  5. Step 5: Solve for x
    x = 5,055,127,802.86/106,515.92
  6. Step 6: Final answer
    x = 47,458.89

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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.