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Finding the Fourth Proportional to 71,166.17, 106,751.13 and 31,164.57

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Solution

The fourth proportional to 71,166.17, 106,751.13 and 31,164.57 is: 46,747.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,166.17 : 106,751.13 = 31,164.57 : x
  2. Step 2: Convert to fraction form
    71,166.17/106,751.13 = 31,164.57/x
  3. Step 3: Cross multiply
    71,166.17x = 106,751.13 × 31,164.57
  4. Step 4: Simplify right side
    71,166.17x = 3,326,852,373.89
  5. Step 5: Solve for x
    x = 3,326,852,373.89/71,166.17
  6. Step 6: Final answer
    x = 46,747.67

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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.