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Finding the Fourth Proportional to 35,474.40, 48,945.84 and 22,884

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Solution

The fourth proportional to 35,474.40, 48,945.84 and 22,884 is: 31,574.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,474.40 : 48,945.84 = 22,884 : x
  2. Step 2: Convert to fraction form
    35,474.40/48,945.84 = 22,884/x
  3. Step 3: Cross multiply
    35,474.40x = 48,945.84 × 22,884
  4. Step 4: Simplify right side
    35,474.40x = 1,120,076,602.56
  5. Step 5: Solve for x
    x = 1,120,076,602.56/35,474.40
  6. Step 6: Final answer
    x = 31,574.22

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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.