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Finding the Fourth Proportional to 30,589.86, 45,882.09 and 9,529.02

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Solution

The fourth proportional to 30,589.86, 45,882.09 and 9,529.02 is: 14,292.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,589.86 : 45,882.09 = 9,529.02 : x
  2. Step 2: Convert to fraction form
    30,589.86/45,882.09 = 9,529.02/x
  3. Step 3: Cross multiply
    30,589.86x = 45,882.09 × 9,529.02
  4. Step 4: Simplify right side
    30,589.86x = 437,211,353.25
  5. Step 5: Solve for x
    x = 437,211,353.25/30,589.86
  6. Step 6: Final answer
    x = 14,292.69

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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.