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Finding the Fourth Proportional to 34,029, 51,053.85 and 17,400.71

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Solution

The fourth proportional to 34,029, 51,053.85 and 17,400.71 is: 26,106.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,029 : 51,053.85 = 17,400.71 : x
  2. Step 2: Convert to fraction form
    34,029/51,053.85 = 17,400.71/x
  3. Step 3: Cross multiply
    34,029x = 51,053.85 × 17,400.71
  4. Step 4: Simplify right side
    34,029x = 888,372,982.96
  5. Step 5: Solve for x
    x = 888,372,982.96/34,029
  6. Step 6: Final answer
    x = 26,106.35

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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.