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Finding the Fourth Proportional to 50,512.26, 75,779.32 and 19,347.50

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Solution

The fourth proportional to 50,512.26, 75,779.32 and 19,347.50 is: 29,025.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,512.26 : 75,779.32 = 19,347.50 : x
  2. Step 2: Convert to fraction form
    50,512.26/75,779.32 = 19,347.50/x
  3. Step 3: Cross multiply
    50,512.26x = 75,779.32 × 19,347.50
  4. Step 4: Simplify right side
    50,512.26x = 1,466,140,393.70
  5. Step 5: Solve for x
    x = 1,466,140,393.70/50,512.26
  6. Step 6: Final answer
    x = 29,025.44

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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.