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Finding the Fourth Proportional to 30,622.96, 45,936.24 and 9,566.02

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Solution

The fourth proportional to 30,622.96, 45,936.24 and 9,566.02 is: 14,349.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,622.96 : 45,936.24 = 9,566.02 : x
  2. Step 2: Convert to fraction form
    30,622.96/45,936.24 = 9,566.02/x
  3. Step 3: Cross multiply
    30,622.96x = 45,936.24 × 9,566.02
  4. Step 4: Simplify right side
    30,622.96x = 439,426,990.56
  5. Step 5: Solve for x
    x = 439,426,990.56/30,622.96
  6. Step 6: Final answer
    x = 14,349.59

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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.