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Finding the Fourth Proportional to 52,343.94, 72,227.62 and 31,115.46

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Solution

The fourth proportional to 52,343.94, 72,227.62 and 31,115.46 is: 42,935.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,343.94 : 72,227.62 = 31,115.46 : x
  2. Step 2: Convert to fraction form
    52,343.94/72,227.62 = 31,115.46/x
  3. Step 3: Cross multiply
    52,343.94x = 72,227.62 × 31,115.46
  4. Step 4: Simplify right side
    52,343.94x = 2,247,395,621.01
  5. Step 5: Solve for x
    x = 2,247,395,621.01/52,343.94
  6. Step 6: Final answer
    x = 42,935.16

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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.