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Finding the Fourth Proportional to 31,952.82, 44,066.23 and 20,017.47

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Solution

The fourth proportional to 31,952.82, 44,066.23 and 20,017.47 is: 27,606.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,952.82 : 44,066.23 = 20,017.47 : x
  2. Step 2: Convert to fraction form
    31,952.82/44,066.23 = 20,017.47/x
  3. Step 3: Cross multiply
    31,952.82x = 44,066.23 × 20,017.47
  4. Step 4: Simplify right side
    31,952.82x = 882,094,437.04
  5. Step 5: Solve for x
    x = 882,094,437.04/31,952.82
  6. Step 6: Final answer
    x = 27,606.15

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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.