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Finding the Fourth Proportional to 50,522.22, 75,830.16 and 25,579.86

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Solution

The fourth proportional to 50,522.22, 75,830.16 and 25,579.86 is: 38,393.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,522.22 : 75,830.16 = 25,579.86 : x
  2. Step 2: Convert to fraction form
    50,522.22/75,830.16 = 25,579.86/x
  3. Step 3: Cross multiply
    50,522.22x = 75,830.16 × 25,579.86
  4. Step 4: Simplify right side
    50,522.22x = 1,939,724,876.58
  5. Step 5: Solve for x
    x = 1,939,724,876.58/50,522.22
  6. Step 6: Final answer
    x = 38,393.50

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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.