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Finding the Fourth Proportional to 82,152.51, 123,138.38 and 32,223.30

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Solution

The fourth proportional to 82,152.51, 123,138.38 and 32,223.30 is: 48,299.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,152.51 : 123,138.38 = 32,223.30 : x
  2. Step 2: Convert to fraction form
    82,152.51/123,138.38 = 32,223.30/x
  3. Step 3: Cross multiply
    82,152.51x = 123,138.38 × 32,223.30
  4. Step 4: Simplify right side
    82,152.51x = 3,967,924,799.14
  5. Step 5: Solve for x
    x = 3,967,924,799.14/82,152.51
  6. Step 6: Final answer
    x = 48,299.50

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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.