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Finding the Fourth Proportional to 57,094.69, 85,620.92 and 19,644.44

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Solution

The fourth proportional to 57,094.69, 85,620.92 and 19,644.44 is: 29,459.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,094.69 : 85,620.92 = 19,644.44 : x
  2. Step 2: Convert to fraction form
    57,094.69/85,620.92 = 19,644.44/x
  3. Step 3: Cross multiply
    57,094.69x = 85,620.92 × 19,644.44
  4. Step 4: Simplify right side
    57,094.69x = 1,681,974,499.36
  5. Step 5: Solve for x
    x = 1,681,974,499.36/57,094.69
  6. Step 6: Final answer
    x = 29,459.39

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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.