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Finding the Fourth Proportional to 52,106.94, 71,907.46 and 28,234.26

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Solution

The fourth proportional to 52,106.94, 71,907.46 and 28,234.26 is: 38,963.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,106.94 : 71,907.46 = 28,234.26 : x
  2. Step 2: Convert to fraction form
    52,106.94/71,907.46 = 28,234.26/x
  3. Step 3: Cross multiply
    52,106.94x = 71,907.46 × 28,234.26
  4. Step 4: Simplify right side
    52,106.94x = 2,030,253,921.58
  5. Step 5: Solve for x
    x = 2,030,253,921.58/52,106.94
  6. Step 6: Final answer
    x = 38,963.22

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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.