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Finding the Fourth Proportional to 31,459.52, 43,420.11 and 20,133.83

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Solution

The fourth proportional to 31,459.52, 43,420.11 and 20,133.83 is: 27,788.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,459.52 : 43,420.11 = 20,133.83 : x
  2. Step 2: Convert to fraction form
    31,459.52/43,420.11 = 20,133.83/x
  3. Step 3: Cross multiply
    31,459.52x = 43,420.11 × 20,133.83
  4. Step 4: Simplify right side
    31,459.52x = 874,213,146.37
  5. Step 5: Solve for x
    x = 874,213,146.37/31,459.52
  6. Step 6: Final answer
    x = 27,788.51

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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.