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Finding the Fourth Proportional to 35,889.66, 53,840.64 and 12,194.70

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Solution

The fourth proportional to 35,889.66, 53,840.64 and 12,194.70 is: 18,294.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,889.66 : 53,840.64 = 12,194.70 : x
  2. Step 2: Convert to fraction form
    35,889.66/53,840.64 = 12,194.70/x
  3. Step 3: Cross multiply
    35,889.66x = 53,840.64 × 12,194.70
  4. Step 4: Simplify right side
    35,889.66x = 656,570,452.61
  5. Step 5: Solve for x
    x = 656,570,452.61/35,889.66
  6. Step 6: Final answer
    x = 18,294.14

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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.