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Finding the Fourth Proportional to 82,809.44, 124,133.16 and 32,872.94

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Solution

The fourth proportional to 82,809.44, 124,133.16 and 32,872.94 is: 49,277.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,809.44 : 124,133.16 = 32,872.94 : x
  2. Step 2: Convert to fraction form
    82,809.44/124,133.16 = 32,872.94/x
  3. Step 3: Cross multiply
    82,809.44x = 124,133.16 × 32,872.94
  4. Step 4: Simplify right side
    82,809.44x = 4,080,621,920.69
  5. Step 5: Solve for x
    x = 4,080,621,920.69/82,809.44
  6. Step 6: Final answer
    x = 49,277.26

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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.