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Finding the Fourth Proportional to 35,924.77, 49,587.67 and 23,178.31

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Solution

The fourth proportional to 35,924.77, 49,587.67 and 23,178.31 is: 31,993.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,924.77 : 49,587.67 = 23,178.31 : x
  2. Step 2: Convert to fraction form
    35,924.77/49,587.67 = 23,178.31/x
  3. Step 3: Cross multiply
    35,924.77x = 49,587.67 × 23,178.31
  4. Step 4: Simplify right side
    35,924.77x = 1,149,358,387.44
  5. Step 5: Solve for x
    x = 1,149,358,387.44/35,924.77
  6. Step 6: Final answer
    x = 31,993.48

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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.