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Finding the Fourth Proportional to 29,400.72, 44,042 and 13,583.60

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Solution

The fourth proportional to 29,400.72, 44,042 and 13,583.60 is: 20,348.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,400.72 : 44,042 = 13,583.60 : x
  2. Step 2: Convert to fraction form
    29,400.72/44,042 = 13,583.60/x
  3. Step 3: Cross multiply
    29,400.72x = 44,042 × 13,583.60
  4. Step 4: Simplify right side
    29,400.72x = 598,248,911.20
  5. Step 5: Solve for x
    x = 598,248,911.20/29,400.72
  6. Step 6: Final answer
    x = 20,348.10

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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.