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Finding the Fourth Proportional to 31,532.65, 47,068.11 and 27,796.12

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Solution

The fourth proportional to 31,532.65, 47,068.11 and 27,796.12 is: 41,490.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,532.65 : 47,068.11 = 27,796.12 : x
  2. Step 2: Convert to fraction form
    31,532.65/47,068.11 = 27,796.12/x
  3. Step 3: Cross multiply
    31,532.65x = 47,068.11 × 27,796.12
  4. Step 4: Simplify right side
    31,532.65x = 1,308,310,716.06
  5. Step 5: Solve for x
    x = 1,308,310,716.06/31,532.65
  6. Step 6: Final answer
    x = 41,490.67

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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.