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Finding the Fourth Proportional to 31,499.84, 43,461.92 and 20,010.56

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Solution

The fourth proportional to 31,499.84, 43,461.92 and 20,010.56 is: 27,609.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,499.84 : 43,461.92 = 20,010.56 : x
  2. Step 2: Convert to fraction form
    31,499.84/43,461.92 = 20,010.56/x
  3. Step 3: Cross multiply
    31,499.84x = 43,461.92 × 20,010.56
  4. Step 4: Simplify right side
    31,499.84x = 869,697,357.88
  5. Step 5: Solve for x
    x = 869,697,357.88/31,499.84
  6. Step 6: Final answer
    x = 27,609.58

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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.