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Finding the Fourth Proportional to 32,940.91, 49,369.98 and 14,199.01

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Solution

The fourth proportional to 32,940.91, 49,369.98 and 14,199.01 is: 21,280.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,940.91 : 49,369.98 = 14,199.01 : x
  2. Step 2: Convert to fraction form
    32,940.91/49,369.98 = 14,199.01/x
  3. Step 3: Cross multiply
    32,940.91x = 49,369.98 × 14,199.01
  4. Step 4: Simplify right side
    32,940.91x = 701,004,839.72
  5. Step 5: Solve for x
    x = 701,004,839.72/32,940.91
  6. Step 6: Final answer
    x = 21,280.68

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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.