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Finding the Fourth Proportional to 35,467.40, 48,936.18 and 22,877

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Solution

The fourth proportional to 35,467.40, 48,936.18 and 22,877 is: 31,564.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,467.40 : 48,936.18 = 22,877 : x
  2. Step 2: Convert to fraction form
    35,467.40/48,936.18 = 22,877/x
  3. Step 3: Cross multiply
    35,467.40x = 48,936.18 × 22,877
  4. Step 4: Simplify right side
    35,467.40x = 1,119,512,989.86
  5. Step 5: Solve for x
    x = 1,119,512,989.86/35,467.40
  6. Step 6: Final answer
    x = 31,564.56

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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.