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Finding the Fourth Proportional to 34,205.80, 51,235.80 and 29,831.80

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Solution

The fourth proportional to 34,205.80, 51,235.80 and 29,831.80 is: 44,684.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,205.80 : 51,235.80 = 29,831.80 : x
  2. Step 2: Convert to fraction form
    34,205.80/51,235.80 = 29,831.80/x
  3. Step 3: Cross multiply
    34,205.80x = 51,235.80 × 29,831.80
  4. Step 4: Simplify right side
    34,205.80x = 1,528,456,138.44
  5. Step 5: Solve for x
    x = 1,528,456,138.44/34,205.80
  6. Step 6: Final answer
    x = 44,684.12

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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.