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Finding the Fourth Proportional to 104,762.14, 144,572.38 and 57,015.97

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Solution

The fourth proportional to 104,762.14, 144,572.38 and 57,015.97 is: 78,682.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,762.14 : 144,572.38 = 57,015.97 : x
  2. Step 2: Convert to fraction form
    104,762.14/144,572.38 = 57,015.97/x
  3. Step 3: Cross multiply
    104,762.14x = 144,572.38 × 57,015.97
  4. Step 4: Simplify right side
    104,762.14x = 8,242,933,976.94
  5. Step 5: Solve for x
    x = 8,242,933,976.94/104,762.14
  6. Step 6: Final answer
    x = 78,682.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.