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Finding the Fourth Proportional to 34,693.80, 52,043.02 and 12,201.78

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Solution

The fourth proportional to 34,693.80, 52,043.02 and 12,201.78 is: 18,303.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,693.80 : 52,043.02 = 12,201.78 : x
  2. Step 2: Convert to fraction form
    34,693.80/52,043.02 = 12,201.78/x
  3. Step 3: Cross multiply
    34,693.80x = 52,043.02 × 12,201.78
  4. Step 4: Simplify right side
    34,693.80x = 635,017,480.58
  5. Step 5: Solve for x
    x = 635,017,480.58/34,693.80
  6. Step 6: Final answer
    x = 18,303.49

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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.