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Finding the Fourth Proportional to 32,152.69, 48,236.33 and 11,376.19

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Solution

The fourth proportional to 32,152.69, 48,236.33 and 11,376.19 is: 17,066.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,152.69 : 48,236.33 = 11,376.19 : x
  2. Step 2: Convert to fraction form
    32,152.69/48,236.33 = 11,376.19/x
  3. Step 3: Cross multiply
    32,152.69x = 48,236.33 × 11,376.19
  4. Step 4: Simplify right side
    32,152.69x = 548,745,477.51
  5. Step 5: Solve for x
    x = 548,745,477.51/32,152.69
  6. Step 6: Final answer
    x = 17,066.86

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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.