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Finding the Fourth Proportional to 51,970.44, 71,719.52 and 29,309.88

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Solution

The fourth proportional to 51,970.44, 71,719.52 and 29,309.88 is: 40,447.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,970.44 : 71,719.52 = 29,309.88 : x
  2. Step 2: Convert to fraction form
    51,970.44/71,719.52 = 29,309.88/x
  3. Step 3: Cross multiply
    51,970.44x = 71,719.52 × 29,309.88
  4. Step 4: Simplify right side
    51,970.44x = 2,102,090,524.86
  5. Step 5: Solve for x
    x = 2,102,090,524.86/51,970.44
  6. Step 6: Final answer
    x = 40,447.81

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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.