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Finding the Fourth Proportional to 30,536, 45,807.04 and 9,754.24

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Solution

The fourth proportional to 30,536, 45,807.04 and 9,754.24 is: 14,632.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,536 : 45,807.04 = 9,754.24 : x
  2. Step 2: Convert to fraction form
    30,536/45,807.04 = 9,754.24/x
  3. Step 3: Cross multiply
    30,536x = 45,807.04 × 9,754.24
  4. Step 4: Simplify right side
    30,536x = 446,812,861.85
  5. Step 5: Solve for x
    x = 446,812,861.85/30,536
  6. Step 6: Final answer
    x = 14,632.33

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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.