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Finding the Fourth Proportional to 29,697.58, 44,548.56 and 9,976

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Solution

The fourth proportional to 29,697.58, 44,548.56 and 9,976 is: 14,964.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,697.58 : 44,548.56 = 9,976 : x
  2. Step 2: Convert to fraction form
    29,697.58/44,548.56 = 9,976/x
  3. Step 3: Cross multiply
    29,697.58x = 44,548.56 × 9,976
  4. Step 4: Simplify right side
    29,697.58x = 444,416,434.56
  5. Step 5: Solve for x
    x = 444,416,434.56/29,697.58
  6. Step 6: Final answer
    x = 14,964.74

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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.