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Finding the Fourth Proportional to 31,435.47, 43,362.54 and 20,257.47

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Solution

The fourth proportional to 31,435.47, 43,362.54 and 20,257.47 is: 27,943.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,435.47 : 43,362.54 = 20,257.47 : x
  2. Step 2: Convert to fraction form
    31,435.47/43,362.54 = 20,257.47/x
  3. Step 3: Cross multiply
    31,435.47x = 43,362.54 × 20,257.47
  4. Step 4: Simplify right side
    31,435.47x = 878,415,353.17
  5. Step 5: Solve for x
    x = 878,415,353.17/31,435.47
  6. Step 6: Final answer
    x = 27,943.45

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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.