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Finding the Fourth Proportional to 32,120.46, 48,193.11 and 12,393.54

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Solution

The fourth proportional to 32,120.46, 48,193.11 and 12,393.54 is: 18,595.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,120.46 : 48,193.11 = 12,393.54 : x
  2. Step 2: Convert to fraction form
    32,120.46/48,193.11 = 12,393.54/x
  3. Step 3: Cross multiply
    32,120.46x = 48,193.11 × 12,393.54
  4. Step 4: Simplify right side
    32,120.46x = 597,283,236.51
  5. Step 5: Solve for x
    x = 597,283,236.51/32,120.46
  6. Step 6: Final answer
    x = 18,595.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.