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Finding the Fourth Proportional to 32,650.83, 48,976.65 and 9,277.27

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Solution

The fourth proportional to 32,650.83, 48,976.65 and 9,277.27 is: 13,916.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,650.83 : 48,976.65 = 9,277.27 : x
  2. Step 2: Convert to fraction form
    32,650.83/48,976.65 = 9,277.27/x
  3. Step 3: Cross multiply
    32,650.83x = 48,976.65 × 9,277.27
  4. Step 4: Simplify right side
    32,650.83x = 454,369,483.30
  5. Step 5: Solve for x
    x = 454,369,483.30/32,650.83
  6. Step 6: Final answer
    x = 13,916.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.