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Finding the Fourth Proportional to 55,223.76, 82,711.02 and 25,579.32

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Solution

The fourth proportional to 55,223.76, 82,711.02 and 25,579.32 is: 38,311.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,223.76 : 82,711.02 = 25,579.32 : x
  2. Step 2: Convert to fraction form
    55,223.76/82,711.02 = 25,579.32/x
  3. Step 3: Cross multiply
    55,223.76x = 82,711.02 × 25,579.32
  4. Step 4: Simplify right side
    55,223.76x = 2,115,691,648.11
  5. Step 5: Solve for x
    x = 2,115,691,648.11/55,223.76
  6. Step 6: Final answer
    x = 38,311.26

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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.