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Finding the Fourth Proportional to 32,093.58, 48,140.37 and 12,097.65

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Solution

The fourth proportional to 32,093.58, 48,140.37 and 12,097.65 is: 18,146.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,093.58 : 48,140.37 = 12,097.65 : x
  2. Step 2: Convert to fraction form
    32,093.58/48,140.37 = 12,097.65/x
  3. Step 3: Cross multiply
    32,093.58x = 48,140.37 × 12,097.65
  4. Step 4: Simplify right side
    32,093.58x = 582,385,347.13
  5. Step 5: Solve for x
    x = 582,385,347.13/32,093.58
  6. Step 6: Final answer
    x = 18,146.48

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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.