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Finding the Fourth Proportional to 106,017.68, 159,021.48 and 31,134.80

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Solution

The fourth proportional to 106,017.68, 159,021.48 and 31,134.80 is: 46,700.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,017.68 : 159,021.48 = 31,134.80 : x
  2. Step 2: Convert to fraction form
    106,017.68/159,021.48 = 31,134.80/x
  3. Step 3: Cross multiply
    106,017.68x = 159,021.48 × 31,134.80
  4. Step 4: Simplify right side
    106,017.68x = 4,951,101,975.50
  5. Step 5: Solve for x
    x = 4,951,101,975.50/106,017.68
  6. Step 6: Final answer
    x = 46,700.72

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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.