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Finding the Fourth Proportional to 51,705.54, 71,382.06 and 31,291.43

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Solution

The fourth proportional to 51,705.54, 71,382.06 and 31,291.43 is: 43,199.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,705.54 : 71,382.06 = 31,291.43 : x
  2. Step 2: Convert to fraction form
    51,705.54/71,382.06 = 31,291.43/x
  3. Step 3: Cross multiply
    51,705.54x = 71,382.06 × 31,291.43
  4. Step 4: Simplify right side
    51,705.54x = 2,233,646,376.84
  5. Step 5: Solve for x
    x = 2,233,646,376.84/51,705.54
  6. Step 6: Final answer
    x = 43,199.36

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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.