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Finding the Fourth Proportional to 32,007.60, 47,998.44 and 11,228.40

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Solution

The fourth proportional to 32,007.60, 47,998.44 and 11,228.40 is: 16,838.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,007.60 : 47,998.44 = 11,228.40 : x
  2. Step 2: Convert to fraction form
    32,007.60/47,998.44 = 11,228.40/x
  3. Step 3: Cross multiply
    32,007.60x = 47,998.44 × 11,228.40
  4. Step 4: Simplify right side
    32,007.60x = 538,945,683.70
  5. Step 5: Solve for x
    x = 538,945,683.70/32,007.60
  6. Step 6: Final answer
    x = 16,838.05

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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.