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Finding the Fourth Proportional to 35,438.40, 48,896.16 and 22,848

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Solution

The fourth proportional to 35,438.40, 48,896.16 and 22,848 is: 31,524.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,438.40 : 48,896.16 = 22,848 : x
  2. Step 2: Convert to fraction form
    35,438.40/48,896.16 = 22,848/x
  3. Step 3: Cross multiply
    35,438.40x = 48,896.16 × 22,848
  4. Step 4: Simplify right side
    35,438.40x = 1,117,179,463.68
  5. Step 5: Solve for x
    x = 1,117,179,463.68/35,438.40
  6. Step 6: Final answer
    x = 31,524.55

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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.