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Finding the Fourth Proportional to 106,506.84, 159,732.86 and 31,609.24

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Solution

The fourth proportional to 106,506.84, 159,732.86 and 31,609.24 is: 47,405.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,506.84 : 159,732.86 = 31,609.24 : x
  2. Step 2: Convert to fraction form
    106,506.84/159,732.86 = 31,609.24/x
  3. Step 3: Cross multiply
    106,506.84x = 159,732.86 × 31,609.24
  4. Step 4: Simplify right side
    106,506.84x = 5,049,034,307.63
  5. Step 5: Solve for x
    x = 5,049,034,307.63/106,506.84
  6. Step 6: Final answer
    x = 47,405.73

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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.