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Finding the Fourth Proportional to 51,381.58, 70,898.34 and 31,227.70

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Solution

The fourth proportional to 51,381.58, 70,898.34 and 31,227.70 is: 43,089.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,381.58 : 70,898.34 = 31,227.70 : x
  2. Step 2: Convert to fraction form
    51,381.58/70,898.34 = 31,227.70/x
  3. Step 3: Cross multiply
    51,381.58x = 70,898.34 × 31,227.70
  4. Step 4: Simplify right side
    51,381.58x = 2,213,992,092.02
  5. Step 5: Solve for x
    x = 2,213,992,092.02/51,381.58
  6. Step 6: Final answer
    x = 43,089.22

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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.