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Finding the Fourth Proportional to 32,383.66, 48,582.04 and 13,663.75

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Solution

The fourth proportional to 32,383.66, 48,582.04 and 13,663.75 is: 20,498.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,383.66 : 48,582.04 = 13,663.75 : x
  2. Step 2: Convert to fraction form
    32,383.66/48,582.04 = 13,663.75/x
  3. Step 3: Cross multiply
    32,383.66x = 48,582.04 × 13,663.75
  4. Step 4: Simplify right side
    32,383.66x = 663,812,849.05
  5. Step 5: Solve for x
    x = 663,812,849.05/32,383.66
  6. Step 6: Final answer
    x = 20,498.39

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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.