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Finding the Fourth Proportional to 32,083.66, 48,093.18 and 13,374.05

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Solution

The fourth proportional to 32,083.66, 48,093.18 and 13,374.05 is: 20,047.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,083.66 : 48,093.18 = 13,374.05 : x
  2. Step 2: Convert to fraction form
    32,083.66/48,093.18 = 13,374.05/x
  3. Step 3: Cross multiply
    32,083.66x = 48,093.18 × 13,374.05
  4. Step 4: Simplify right side
    32,083.66x = 643,200,527.11
  5. Step 5: Solve for x
    x = 643,200,527.11/32,083.66
  6. Step 6: Final answer
    x = 20,047.61

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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.