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Finding the Fourth Proportional to 32,087.60, 48,097.38 and 12,357.62

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Solution

The fourth proportional to 32,087.60, 48,097.38 and 12,357.62 is: 18,523.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,087.60 : 48,097.38 = 12,357.62 : x
  2. Step 2: Convert to fraction form
    32,087.60/48,097.38 = 12,357.62/x
  3. Step 3: Cross multiply
    32,087.60x = 48,097.38 × 12,357.62
  4. Step 4: Simplify right side
    32,087.60x = 594,369,145.04
  5. Step 5: Solve for x
    x = 594,369,145.04/32,087.60
  6. Step 6: Final answer
    x = 18,523.33

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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.