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Finding the Fourth Proportional to 29,453.44, 44,178.72 and 10,984

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Solution

The fourth proportional to 29,453.44, 44,178.72 and 10,984 is: 16,475.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,453.44 : 44,178.72 = 10,984 : x
  2. Step 2: Convert to fraction form
    29,453.44/44,178.72 = 10,984/x
  3. Step 3: Cross multiply
    29,453.44x = 44,178.72 × 10,984
  4. Step 4: Simplify right side
    29,453.44x = 485,259,060.48
  5. Step 5: Solve for x
    x = 485,259,060.48/29,453.44
  6. Step 6: Final answer
    x = 16,475.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.