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Finding the Fourth Proportional to 106,474.82, 159,706.74 and 31,595.60

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Solution

The fourth proportional to 106,474.82, 159,706.74 and 31,595.60 is: 47,391.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,474.82 : 159,706.74 = 31,595.60 : x
  2. Step 2: Convert to fraction form
    106,474.82/159,706.74 = 31,595.60/x
  3. Step 3: Cross multiply
    106,474.82x = 159,706.74 × 31,595.60
  4. Step 4: Simplify right side
    106,474.82x = 5,046,030,274.34
  5. Step 5: Solve for x
    x = 5,046,030,274.34/106,474.82
  6. Step 6: Final answer
    x = 47,391.77

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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.