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Finding the Fourth Proportional to 32,695.92, 49,000.72 and 12,963.68

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Solution

The fourth proportional to 32,695.92, 49,000.72 and 12,963.68 is: 19,428.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,695.92 : 49,000.72 = 12,963.68 : x
  2. Step 2: Convert to fraction form
    32,695.92/49,000.72 = 12,963.68/x
  3. Step 3: Cross multiply
    32,695.92x = 49,000.72 × 12,963.68
  4. Step 4: Simplify right side
    32,695.92x = 635,229,653.85
  5. Step 5: Solve for x
    x = 635,229,653.85/32,695.92
  6. Step 6: Final answer
    x = 19,428.41

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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.