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Finding the Fourth Proportional to 32,296.50, 48,442.95 and 10,107.27

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Solution

The fourth proportional to 32,296.50, 48,442.95 and 10,107.27 is: 15,160.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,296.50 : 48,442.95 = 10,107.27 : x
  2. Step 2: Convert to fraction form
    32,296.50/48,442.95 = 10,107.27/x
  3. Step 3: Cross multiply
    32,296.50x = 48,442.95 × 10,107.27
  4. Step 4: Simplify right side
    32,296.50x = 489,625,975.25
  5. Step 5: Solve for x
    x = 489,625,975.25/32,296.50
  6. Step 6: Final answer
    x = 15,160.34

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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.