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Finding the Fourth Proportional to 32,776.71, 49,165.11 and 14,044.60

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Solution

The fourth proportional to 32,776.71, 49,165.11 and 14,044.60 is: 21,066.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,776.71 : 49,165.11 = 14,044.60 : x
  2. Step 2: Convert to fraction form
    32,776.71/49,165.11 = 14,044.60/x
  3. Step 3: Cross multiply
    32,776.71x = 49,165.11 × 14,044.60
  4. Step 4: Simplify right side
    32,776.71x = 690,504,303.91
  5. Step 5: Solve for x
    x = 690,504,303.91/32,776.71
  6. Step 6: Final answer
    x = 21,066.92

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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.