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Finding the Fourth Proportional to 34,197.60, 51,247.80 and 23,797.20

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Solution

The fourth proportional to 34,197.60, 51,247.80 and 23,797.20 is: 35,661.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,197.60 : 51,247.80 = 23,797.20 : x
  2. Step 2: Convert to fraction form
    34,197.60/51,247.80 = 23,797.20/x
  3. Step 3: Cross multiply
    34,197.60x = 51,247.80 × 23,797.20
  4. Step 4: Simplify right side
    34,197.60x = 1,219,554,146.16
  5. Step 5: Solve for x
    x = 1,219,554,146.16/34,197.60
  6. Step 6: Final answer
    x = 35,661.98

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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.