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Finding the Fourth Proportional to 32,797.72, 49,158.06 and 15,230.52

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Solution

The fourth proportional to 32,797.72, 49,158.06 and 15,230.52 is: 22,827.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,797.72 : 49,158.06 = 15,230.52 : x
  2. Step 2: Convert to fraction form
    32,797.72/49,158.06 = 15,230.52/x
  3. Step 3: Cross multiply
    32,797.72x = 49,158.06 × 15,230.52
  4. Step 4: Simplify right side
    32,797.72x = 748,702,815.99
  5. Step 5: Solve for x
    x = 748,702,815.99/32,797.72
  6. Step 6: Final answer
    x = 22,827.89

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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.