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Finding the Fourth Proportional to 32,939.91, 49,368.48 and 14,198.01

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Solution

The fourth proportional to 32,939.91, 49,368.48 and 14,198.01 is: 21,279.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,939.91 : 49,368.48 = 14,198.01 : x
  2. Step 2: Convert to fraction form
    32,939.91/49,368.48 = 14,198.01/x
  3. Step 3: Cross multiply
    32,939.91x = 49,368.48 × 14,198.01
  4. Step 4: Simplify right side
    32,939.91x = 700,934,172.72
  5. Step 5: Solve for x
    x = 700,934,172.72/32,939.91
  6. Step 6: Final answer
    x = 21,279.18

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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.