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Finding the Fourth Proportional to 35,929.44, 49,584.96 and 24,732

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Solution

The fourth proportional to 35,929.44, 49,584.96 and 24,732 is: 34,131.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,929.44 : 49,584.96 = 24,732 : x
  2. Step 2: Convert to fraction form
    35,929.44/49,584.96 = 24,732/x
  3. Step 3: Cross multiply
    35,929.44x = 49,584.96 × 24,732
  4. Step 4: Simplify right side
    35,929.44x = 1,226,335,230.72
  5. Step 5: Solve for x
    x = 1,226,335,230.72/35,929.44
  6. Step 6: Final answer
    x = 34,131.77

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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.