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Finding the Fourth Proportional to 30,624.12, 45,932.94 and 9,846

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Solution

The fourth proportional to 30,624.12, 45,932.94 and 9,846 is: 14,767.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,624.12 : 45,932.94 = 9,846 : x
  2. Step 2: Convert to fraction form
    30,624.12/45,932.94 = 9,846/x
  3. Step 3: Cross multiply
    30,624.12x = 45,932.94 × 9,846
  4. Step 4: Simplify right side
    30,624.12x = 452,255,727.24
  5. Step 5: Solve for x
    x = 452,255,727.24/30,624.12
  6. Step 6: Final answer
    x = 14,767.96

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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.