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Finding the Fourth Proportional to 51,154.27, 70,596.44 and 31,012

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Solution

The fourth proportional to 51,154.27, 70,596.44 and 31,012 is: 42,798.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,154.27 : 70,596.44 = 31,012 : x
  2. Step 2: Convert to fraction form
    51,154.27/70,596.44 = 31,012/x
  3. Step 3: Cross multiply
    51,154.27x = 70,596.44 × 31,012
  4. Step 4: Simplify right side
    51,154.27x = 2,189,336,797.28
  5. Step 5: Solve for x
    x = 2,189,336,797.28/51,154.27
  6. Step 6: Final answer
    x = 42,798.71

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