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Finding the Fourth Proportional to 32,745.16, 49,087.26 and 11,953

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Solution

The fourth proportional to 32,745.16, 49,087.26 and 11,953 is: 17,918.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,745.16 : 49,087.26 = 11,953 : x
  2. Step 2: Convert to fraction form
    32,745.16/49,087.26 = 11,953/x
  3. Step 3: Cross multiply
    32,745.16x = 49,087.26 × 11,953
  4. Step 4: Simplify right side
    32,745.16x = 586,740,018.78
  5. Step 5: Solve for x
    x = 586,740,018.78/32,745.16
  6. Step 6: Final answer
    x = 17,918.37

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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.