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Finding the Fourth Proportional to 32,477.16, 48,717.50 and 9,105.42

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Solution

The fourth proportional to 32,477.16, 48,717.50 and 9,105.42 is: 13,658.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,477.16 : 48,717.50 = 9,105.42 : x
  2. Step 2: Convert to fraction form
    32,477.16/48,717.50 = 9,105.42/x
  3. Step 3: Cross multiply
    32,477.16x = 48,717.50 × 9,105.42
  4. Step 4: Simplify right side
    32,477.16x = 443,593,253.32
  5. Step 5: Solve for x
    x = 443,593,253.32/32,477.16
  6. Step 6: Final answer
    x = 13,658.62

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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.