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Finding the Fourth Proportional to 30,529.53, 45,797.10 and 9,469.74

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Solution

The fourth proportional to 30,529.53, 45,797.10 and 9,469.74 is: 14,205.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,529.53 : 45,797.10 = 9,469.74 : x
  2. Step 2: Convert to fraction form
    30,529.53/45,797.10 = 9,469.74/x
  3. Step 3: Cross multiply
    30,529.53x = 45,797.10 × 9,469.74
  4. Step 4: Simplify right side
    30,529.53x = 433,686,629.75
  5. Step 5: Solve for x
    x = 433,686,629.75/30,529.53
  6. Step 6: Final answer
    x = 14,205.48

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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.