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Finding the Fourth Proportional to 30,012.56, 45,021.12 and 8,950.95

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Solution

The fourth proportional to 30,012.56, 45,021.12 and 8,950.95 is: 13,427.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,012.56 : 45,021.12 = 8,950.95 : x
  2. Step 2: Convert to fraction form
    30,012.56/45,021.12 = 8,950.95/x
  3. Step 3: Cross multiply
    30,012.56x = 45,021.12 × 8,950.95
  4. Step 4: Simplify right side
    30,012.56x = 402,981,760.50
  5. Step 5: Solve for x
    x = 402,981,760.50/30,012.56
  6. Step 6: Final answer
    x = 13,427.10

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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.