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Finding the Fourth Proportional to 65,222.78, 97,835.64 and 36,940.74

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Solution

The fourth proportional to 65,222.78, 97,835.64 and 36,940.74 is: 55,411.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,222.78 : 97,835.64 = 36,940.74 : x
  2. Step 2: Convert to fraction form
    65,222.78/97,835.64 = 36,940.74/x
  3. Step 3: Cross multiply
    65,222.78x = 97,835.64 × 36,940.74
  4. Step 4: Simplify right side
    65,222.78x = 3,614,120,939.97
  5. Step 5: Solve for x
    x = 3,614,120,939.97/65,222.78
  6. Step 6: Final answer
    x = 55,411.94

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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.