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Finding the Fourth Proportional to 104,796, 144,618.24 and 57,049.68

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Solution

The fourth proportional to 104,796, 144,618.24 and 57,049.68 is: 78,728.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,796 : 144,618.24 = 57,049.68 : x
  2. Step 2: Convert to fraction form
    104,796/144,618.24 = 57,049.68/x
  3. Step 3: Cross multiply
    104,796x = 144,618.24 × 57,049.68
  4. Step 4: Simplify right side
    104,796x = 8,250,424,314.16
  5. Step 5: Solve for x
    x = 8,250,424,314.16/104,796
  6. Step 6: Final answer
    x = 78,728.43

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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.