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Finding the Fourth Proportional to 51,860.22, 71,566.02 and 31,717.32

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Solution

The fourth proportional to 51,860.22, 71,566.02 and 31,717.32 is: 43,769.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,860.22 : 71,566.02 = 31,717.32 : x
  2. Step 2: Convert to fraction form
    51,860.22/71,566.02 = 31,717.32/x
  3. Step 3: Cross multiply
    51,860.22x = 71,566.02 × 31,717.32
  4. Step 4: Simplify right side
    51,860.22x = 2,269,882,357.47
  5. Step 5: Solve for x
    x = 2,269,882,357.47/51,860.22
  6. Step 6: Final answer
    x = 43,769.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.