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Finding the Fourth Proportional to 57,105.72, 85,599.72 and 23,845.14

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Solution

The fourth proportional to 57,105.72, 85,599.72 and 23,845.14 is: 35,743.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,105.72 : 85,599.72 = 23,845.14 : x
  2. Step 2: Convert to fraction form
    57,105.72/85,599.72 = 23,845.14/x
  3. Step 3: Cross multiply
    57,105.72x = 85,599.72 × 23,845.14
  4. Step 4: Simplify right side
    57,105.72x = 2,041,137,307.36
  5. Step 5: Solve for x
    x = 2,041,137,307.36/57,105.72
  6. Step 6: Final answer
    x = 35,743.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.