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Finding the Fourth Proportional to 30,233.34, 45,348.57 and 9,172.44

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Solution

The fourth proportional to 30,233.34, 45,348.57 and 9,172.44 is: 13,758.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,233.34 : 45,348.57 = 9,172.44 : x
  2. Step 2: Convert to fraction form
    30,233.34/45,348.57 = 9,172.44/x
  3. Step 3: Cross multiply
    30,233.34x = 45,348.57 × 9,172.44
  4. Step 4: Simplify right side
    30,233.34x = 415,957,037.41
  5. Step 5: Solve for x
    x = 415,957,037.41/30,233.34
  6. Step 6: Final answer
    x = 13,758.22

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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.