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Finding the Fourth Proportional to 42,433.57, 58,597.71 and 27,361.49

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Solution

The fourth proportional to 42,433.57, 58,597.71 and 27,361.49 is: 37,784.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,433.57 : 58,597.71 = 27,361.49 : x
  2. Step 2: Convert to fraction form
    42,433.57/58,597.71 = 27,361.49/x
  3. Step 3: Cross multiply
    42,433.57x = 58,597.71 × 27,361.49
  4. Step 4: Simplify right side
    42,433.57x = 1,603,320,656.19
  5. Step 5: Solve for x
    x = 1,603,320,656.19/42,433.57
  6. Step 6: Final answer
    x = 37,784.26

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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.