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Finding the Fourth Proportional to 32,077, 48,135.55 and 15,438.79

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Solution

The fourth proportional to 32,077, 48,135.55 and 15,438.79 is: 23,167.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,077 : 48,135.55 = 15,438.79 : x
  2. Step 2: Convert to fraction form
    32,077/48,135.55 = 15,438.79/x
  3. Step 3: Cross multiply
    32,077x = 48,135.55 × 15,438.79
  4. Step 4: Simplify right side
    32,077x = 743,154,647.98
  5. Step 5: Solve for x
    x = 743,154,647.98/32,077
  6. Step 6: Final answer
    x = 23,167.84

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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.