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Finding the Fourth Proportional to 51,008, 76,516.41 and 14,072

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Solution

The fourth proportional to 51,008, 76,516.41 and 14,072 is: 21,109.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,008 : 76,516.41 = 14,072 : x
  2. Step 2: Convert to fraction form
    51,008/76,516.41 = 14,072/x
  3. Step 3: Cross multiply
    51,008x = 76,516.41 × 14,072
  4. Step 4: Simplify right side
    51,008x = 1,076,738,921.52
  5. Step 5: Solve for x
    x = 1,076,738,921.52/51,008
  6. Step 6: Final answer
    x = 21,109.22

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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.