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Finding the Fourth Proportional to 31,151.44, 42,994.56 and 18,577

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Solution

The fourth proportional to 31,151.44, 42,994.56 and 18,577 is: 25,639.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,151.44 : 42,994.56 = 18,577 : x
  2. Step 2: Convert to fraction form
    31,151.44/42,994.56 = 18,577/x
  3. Step 3: Cross multiply
    31,151.44x = 42,994.56 × 18,577
  4. Step 4: Simplify right side
    31,151.44x = 798,709,941.12
  5. Step 5: Solve for x
    x = 798,709,941.12/31,151.44
  6. Step 6: Final answer
    x = 25,639.58

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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.