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Finding the Fourth Proportional to 131,576.69, 197,363.32 and 31,736.14

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Solution

The fourth proportional to 131,576.69, 197,363.32 and 31,736.14 is: 47,603.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,576.69 : 197,363.32 = 31,736.14 : x
  2. Step 2: Convert to fraction form
    131,576.69/197,363.32 = 31,736.14/x
  3. Step 3: Cross multiply
    131,576.69x = 197,363.32 × 31,736.14
  4. Step 4: Simplify right side
    131,576.69x = 6,263,549,954.38
  5. Step 5: Solve for x
    x = 6,263,549,954.38/131,576.69
  6. Step 6: Final answer
    x = 47,603.80

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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.