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Finding the Fourth Proportional to 31,605.49, 47,133.50 and 31,181.76

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Solution

The fourth proportional to 31,605.49, 47,133.50 and 31,181.76 is: 46,501.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,605.49 : 47,133.50 = 31,181.76 : x
  2. Step 2: Convert to fraction form
    31,605.49/47,133.50 = 31,181.76/x
  3. Step 3: Cross multiply
    31,605.49x = 47,133.50 × 31,181.76
  4. Step 4: Simplify right side
    31,605.49x = 1,469,705,329.05
  5. Step 5: Solve for x
    x = 1,469,705,329.05/31,605.49
  6. Step 6: Final answer
    x = 46,501.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.