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Finding the Fourth Proportional to 35,473.40, 48,944.46 and 22,883

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Solution

The fourth proportional to 35,473.40, 48,944.46 and 22,883 is: 31,572.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,473.40 : 48,944.46 = 22,883 : x
  2. Step 2: Convert to fraction form
    35,473.40/48,944.46 = 22,883/x
  3. Step 3: Cross multiply
    35,473.40x = 48,944.46 × 22,883
  4. Step 4: Simplify right side
    35,473.40x = 1,119,996,078.18
  5. Step 5: Solve for x
    x = 1,119,996,078.18/35,473.40
  6. Step 6: Final answer
    x = 31,572.84

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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.