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Finding the Fourth Proportional to 64,381.34, 96,577.50 and 17,634.26

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Solution

The fourth proportional to 64,381.34, 96,577.50 and 17,634.26 is: 26,452.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,381.34 : 96,577.50 = 17,634.26 : x
  2. Step 2: Convert to fraction form
    64,381.34/96,577.50 = 17,634.26/x
  3. Step 3: Cross multiply
    64,381.34x = 96,577.50 × 17,634.26
  4. Step 4: Simplify right side
    64,381.34x = 1,703,072,745.15
  5. Step 5: Solve for x
    x = 1,703,072,745.15/64,381.34
  6. Step 6: Final answer
    x = 26,452.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.