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Finding the Fourth Proportional to 50,508.30, 75,762.83 and 22,420.80

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Solution

The fourth proportional to 50,508.30, 75,762.83 and 22,420.80 is: 33,631.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,508.30 : 75,762.83 = 22,420.80 : x
  2. Step 2: Convert to fraction form
    50,508.30/75,762.83 = 22,420.80/x
  3. Step 3: Cross multiply
    50,508.30x = 75,762.83 × 22,420.80
  4. Step 4: Simplify right side
    50,508.30x = 1,698,663,258.86
  5. Step 5: Solve for x
    x = 1,698,663,258.86/50,508.30
  6. Step 6: Final answer
    x = 33,631.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.