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Finding the Fourth Proportional to 30,502.11, 45,751.82 and 8,315.49

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Solution

The fourth proportional to 30,502.11, 45,751.82 and 8,315.49 is: 12,472.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,502.11 : 45,751.82 = 8,315.49 : x
  2. Step 2: Convert to fraction form
    30,502.11/45,751.82 = 8,315.49/x
  3. Step 3: Cross multiply
    30,502.11x = 45,751.82 × 8,315.49
  4. Step 4: Simplify right side
    30,502.11x = 380,448,801.69
  5. Step 5: Solve for x
    x = 380,448,801.69/30,502.11
  6. Step 6: Final answer
    x = 12,472.87

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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.