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Finding the Fourth Proportional to 57,647.25, 86,473.47 and 17,663.31

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Solution

The fourth proportional to 57,647.25, 86,473.47 and 17,663.31 is: 26,495.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,647.25 : 86,473.47 = 17,663.31 : x
  2. Step 2: Convert to fraction form
    57,647.25/86,473.47 = 17,663.31/x
  3. Step 3: Cross multiply
    57,647.25x = 86,473.47 × 17,663.31
  4. Step 4: Simplify right side
    57,647.25x = 1,527,407,707.39
  5. Step 5: Solve for x
    x = 1,527,407,707.39/57,647.25
  6. Step 6: Final answer
    x = 26,495.76

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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.