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Finding the Fourth Proportional to 33,049.68, 49,574.51 and 9,676.11

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Solution

The fourth proportional to 33,049.68, 49,574.51 and 9,676.11 is: 14,514.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,049.68 : 49,574.51 = 9,676.11 : x
  2. Step 2: Convert to fraction form
    33,049.68/49,574.51 = 9,676.11/x
  3. Step 3: Cross multiply
    33,049.68x = 49,574.51 × 9,676.11
  4. Step 4: Simplify right side
    33,049.68x = 479,688,411.96
  5. Step 5: Solve for x
    x = 479,688,411.96/33,049.68
  6. Step 6: Final answer
    x = 14,514.16

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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.