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Finding the Fourth Proportional to 57,057, 85,564.51 and 19,606.44

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Solution

The fourth proportional to 57,057, 85,564.51 and 19,606.44 is: 29,402.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,057 : 85,564.51 = 19,606.44 : x
  2. Step 2: Convert to fraction form
    57,057/85,564.51 = 19,606.44/x
  3. Step 3: Cross multiply
    57,057x = 85,564.51 × 19,606.44
  4. Step 4: Simplify right side
    57,057x = 1,677,615,431.44
  5. Step 5: Solve for x
    x = 1,677,615,431.44/57,057
  6. Step 6: Final answer
    x = 29,402.45

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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.