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Finding the Fourth Proportional to 32,078.25, 48,085.38 and 15,433.56

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Solution

The fourth proportional to 32,078.25, 48,085.38 and 15,433.56 is: 23,134.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,078.25 : 48,085.38 = 15,433.56 : x
  2. Step 2: Convert to fraction form
    32,078.25/48,085.38 = 15,433.56/x
  3. Step 3: Cross multiply
    32,078.25x = 48,085.38 × 15,433.56
  4. Step 4: Simplify right side
    32,078.25x = 742,128,597.35
  5. Step 5: Solve for x
    x = 742,128,597.35/32,078.25
  6. Step 6: Final answer
    x = 23,134.95

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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.