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Finding the Fourth Proportional to 32,077.15, 48,119.54 and 13,369.86

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Solution

The fourth proportional to 32,077.15, 48,119.54 and 13,369.86 is: 20,056.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,077.15 : 48,119.54 = 13,369.86 : x
  2. Step 2: Convert to fraction form
    32,077.15/48,119.54 = 13,369.86/x
  3. Step 3: Cross multiply
    32,077.15x = 48,119.54 × 13,369.86
  4. Step 4: Simplify right side
    32,077.15x = 643,351,446.22
  5. Step 5: Solve for x
    x = 643,351,446.22/32,077.15
  6. Step 6: Final answer
    x = 20,056.38

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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.