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Finding the Fourth Proportional to 82,889.38, 124,353.51 and 32,972.32

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Solution

The fourth proportional to 82,889.38, 124,353.51 and 32,972.32 is: 49,466.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,889.38 : 124,353.51 = 32,972.32 : x
  2. Step 2: Convert to fraction form
    82,889.38/124,353.51 = 32,972.32/x
  3. Step 3: Cross multiply
    82,889.38x = 124,353.51 × 32,972.32
  4. Step 4: Simplify right side
    82,889.38x = 4,100,224,003.93
  5. Step 5: Solve for x
    x = 4,100,224,003.93/82,889.38
  6. Step 6: Final answer
    x = 49,466.22

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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.