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Finding the Fourth Proportional to 34,704.40, 47,972.78 and 30,964.63

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Solution

The fourth proportional to 34,704.40, 47,972.78 and 30,964.63 is: 42,803.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,704.40 : 47,972.78 = 30,964.63 : x
  2. Step 2: Convert to fraction form
    34,704.40/47,972.78 = 30,964.63/x
  3. Step 3: Cross multiply
    34,704.40x = 47,972.78 × 30,964.63
  4. Step 4: Simplify right side
    34,704.40x = 1,485,459,382.77
  5. Step 5: Solve for x
    x = 1,485,459,382.77/34,704.40
  6. Step 6: Final answer
    x = 42,803.20

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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.