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Finding the Fourth Proportional to 32,493.85, 48,744.02 and 11,712.49

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Solution

The fourth proportional to 32,493.85, 48,744.02 and 11,712.49 is: 17,569.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,493.85 : 48,744.02 = 11,712.49 : x
  2. Step 2: Convert to fraction form
    32,493.85/48,744.02 = 11,712.49/x
  3. Step 3: Cross multiply
    32,493.85x = 48,744.02 × 11,712.49
  4. Step 4: Simplify right side
    32,493.85x = 570,913,846.81
  5. Step 5: Solve for x
    x = 570,913,846.81/32,493.85
  6. Step 6: Final answer
    x = 17,569.90

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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.