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Finding the Fourth Proportional to 65,274.64, 97,893.73 and 23,149.37

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Solution

The fourth proportional to 65,274.64, 97,893.73 and 23,149.37 is: 34,717.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,274.64 : 97,893.73 = 23,149.37 : x
  2. Step 2: Convert to fraction form
    65,274.64/97,893.73 = 23,149.37/x
  3. Step 3: Cross multiply
    65,274.64x = 97,893.73 × 23,149.37
  4. Step 4: Simplify right side
    65,274.64x = 2,266,178,176.45
  5. Step 5: Solve for x
    x = 2,266,178,176.45/65,274.64
  6. Step 6: Final answer
    x = 34,717.59

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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.