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Finding the Fourth Proportional to 82,873.44, 124,333.10 and 32,988.56

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Solution

The fourth proportional to 82,873.44, 124,333.10 and 32,988.56 is: 49,491.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,873.44 : 124,333.10 = 32,988.56 : x
  2. Step 2: Convert to fraction form
    82,873.44/124,333.10 = 32,988.56/x
  3. Step 3: Cross multiply
    82,873.44x = 124,333.10 × 32,988.56
  4. Step 4: Simplify right side
    82,873.44x = 4,101,569,929.34
  5. Step 5: Solve for x
    x = 4,101,569,929.34/82,873.44
  6. Step 6: Final answer
    x = 49,491.97

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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.