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Finding the Fourth Proportional to 36,534.78, 54,806.49 and 11,575.98

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Solution

The fourth proportional to 36,534.78, 54,806.49 and 11,575.98 is: 17,365.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,534.78 : 54,806.49 = 11,575.98 : x
  2. Step 2: Convert to fraction form
    36,534.78/54,806.49 = 11,575.98/x
  3. Step 3: Cross multiply
    36,534.78x = 54,806.49 × 11,575.98
  4. Step 4: Simplify right side
    36,534.78x = 634,438,832.11
  5. Step 5: Solve for x
    x = 634,438,832.11/36,534.78
  6. Step 6: Final answer
    x = 17,365.34

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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.