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Finding the Fourth Proportional to 30,633.20, 45,950.97 and 9,575.18

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Solution

The fourth proportional to 30,633.20, 45,950.97 and 9,575.18 is: 14,363.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,633.20 : 45,950.97 = 9,575.18 : x
  2. Step 2: Convert to fraction form
    30,633.20/45,950.97 = 9,575.18/x
  3. Step 3: Cross multiply
    30,633.20x = 45,950.97 × 9,575.18
  4. Step 4: Simplify right side
    30,633.20x = 439,988,808.92
  5. Step 5: Solve for x
    x = 439,988,808.92/30,633.20
  6. Step 6: Final answer
    x = 14,363.14

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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.