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Finding the Fourth Proportional to 31,185.68, 43,024.01 and 19,228.25

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Solution

The fourth proportional to 31,185.68, 43,024.01 and 19,228.25 is: 26,527.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,185.68 : 43,024.01 = 19,228.25 : x
  2. Step 2: Convert to fraction form
    31,185.68/43,024.01 = 19,228.25/x
  3. Step 3: Cross multiply
    31,185.68x = 43,024.01 × 19,228.25
  4. Step 4: Simplify right side
    31,185.68x = 827,276,109.02
  5. Step 5: Solve for x
    x = 827,276,109.02/31,185.68
  6. Step 6: Final answer
    x = 26,527.44

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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.