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Finding the Fourth Proportional to 52,314.26, 72,209.49 and 35,556.98

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Solution

The fourth proportional to 52,314.26, 72,209.49 and 35,556.98 is: 49,079.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,314.26 : 72,209.49 = 35,556.98 : x
  2. Step 2: Convert to fraction form
    52,314.26/72,209.49 = 35,556.98/x
  3. Step 3: Cross multiply
    52,314.26x = 72,209.49 × 35,556.98
  4. Step 4: Simplify right side
    52,314.26x = 2,567,551,391.74
  5. Step 5: Solve for x
    x = 2,567,551,391.74/52,314.26
  6. Step 6: Final answer
    x = 49,079.38

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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.