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Finding the Fourth Proportional to 61,093.40, 91,611.34 and 23,671

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Solution

The fourth proportional to 61,093.40, 91,611.34 and 23,671 is: 35,495.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,093.40 : 91,611.34 = 23,671 : x
  2. Step 2: Convert to fraction form
    61,093.40/91,611.34 = 23,671/x
  3. Step 3: Cross multiply
    61,093.40x = 91,611.34 × 23,671
  4. Step 4: Simplify right side
    61,093.40x = 2,168,532,029.14
  5. Step 5: Solve for x
    x = 2,168,532,029.14/61,093.40
  6. Step 6: Final answer
    x = 35,495.36

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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.