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Finding the Fourth Proportional to 32,313.60, 48,470.40 and 11,532.96

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Solution

The fourth proportional to 32,313.60, 48,470.40 and 11,532.96 is: 17,299.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,313.60 : 48,470.40 = 11,532.96 : x
  2. Step 2: Convert to fraction form
    32,313.60/48,470.40 = 11,532.96/x
  3. Step 3: Cross multiply
    32,313.60x = 48,470.40 × 11,532.96
  4. Step 4: Simplify right side
    32,313.60x = 559,007,184.38
  5. Step 5: Solve for x
    x = 559,007,184.38/32,313.60
  6. Step 6: Final answer
    x = 17,299.44

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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.