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Finding the Fourth Proportional to 51,371.44, 70,889.16 and 29,014

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Solution

The fourth proportional to 51,371.44, 70,889.16 and 29,014 is: 40,037.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,371.44 : 70,889.16 = 29,014 : x
  2. Step 2: Convert to fraction form
    51,371.44/70,889.16 = 29,014/x
  3. Step 3: Cross multiply
    51,371.44x = 70,889.16 × 29,014
  4. Step 4: Simplify right side
    51,371.44x = 2,056,778,088.24
  5. Step 5: Solve for x
    x = 2,056,778,088.24/51,371.44
  6. Step 6: Final answer
    x = 40,037.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.