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Finding the Fourth Proportional to 30,622.61, 45,933.92 and 9,846.11

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Solution

The fourth proportional to 30,622.61, 45,933.92 and 9,846.11 is: 14,769.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,622.61 : 45,933.92 = 9,846.11 : x
  2. Step 2: Convert to fraction form
    30,622.61/45,933.92 = 9,846.11/x
  3. Step 3: Cross multiply
    30,622.61x = 45,933.92 × 9,846.11
  4. Step 4: Simplify right side
    30,622.61x = 452,270,429.05
  5. Step 5: Solve for x
    x = 452,270,429.05/30,622.61
  6. Step 6: Final answer
    x = 14,769.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.