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Finding the Fourth Proportional to 42,296.16, 58,431.90 and 27,794.64

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Solution

The fourth proportional to 42,296.16, 58,431.90 and 27,794.64 is: 38,398.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,296.16 : 58,431.90 = 27,794.64 : x
  2. Step 2: Convert to fraction form
    42,296.16/58,431.90 = 27,794.64/x
  3. Step 3: Cross multiply
    42,296.16x = 58,431.90 × 27,794.64
  4. Step 4: Simplify right side
    42,296.16x = 1,624,093,625.02
  5. Step 5: Solve for x
    x = 1,624,093,625.02/42,296.16
  6. Step 6: Final answer
    x = 38,398.13

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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.