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Finding the Fourth Proportional to 30,882.11, 46,322.82 and 7,508.57

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Solution

The fourth proportional to 30,882.11, 46,322.82 and 7,508.57 is: 11,262.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,882.11 : 46,322.82 = 7,508.57 : x
  2. Step 2: Convert to fraction form
    30,882.11/46,322.82 = 7,508.57/x
  3. Step 3: Cross multiply
    30,882.11x = 46,322.82 × 7,508.57
  4. Step 4: Simplify right side
    30,882.11x = 347,817,904.95
  5. Step 5: Solve for x
    x = 347,817,904.95/30,882.11
  6. Step 6: Final answer
    x = 11,262.77

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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.