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Finding the Fourth Proportional to 32,893.36, 49,341.12 and 12,112

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Solution

The fourth proportional to 32,893.36, 49,341.12 and 12,112 is: 18,168.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,893.36 : 49,341.12 = 12,112 : x
  2. Step 2: Convert to fraction form
    32,893.36/49,341.12 = 12,112/x
  3. Step 3: Cross multiply
    32,893.36x = 49,341.12 × 12,112
  4. Step 4: Simplify right side
    32,893.36x = 597,619,645.44
  5. Step 5: Solve for x
    x = 597,619,645.44/32,893.36
  6. Step 6: Final answer
    x = 18,168.40

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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.