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Finding the Fourth Proportional to 35,894.60, 53,844.30 and 12,201.80

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Solution

The fourth proportional to 35,894.60, 53,844.30 and 12,201.80 is: 18,303.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,894.60 : 53,844.30 = 12,201.80 : x
  2. Step 2: Convert to fraction form
    35,894.60/53,844.30 = 12,201.80/x
  3. Step 3: Cross multiply
    35,894.60x = 53,844.30 × 12,201.80
  4. Step 4: Simplify right side
    35,894.60x = 656,997,379.74
  5. Step 5: Solve for x
    x = 656,997,379.74/35,894.60
  6. Step 6: Final answer
    x = 18,303.52

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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.