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Finding the Fourth Proportional to 69,765.44, 104,648.14 and 57,403.48

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Solution

The fourth proportional to 69,765.44, 104,648.14 and 57,403.48 is: 86,105.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,765.44 : 104,648.14 = 57,403.48 : x
  2. Step 2: Convert to fraction form
    69,765.44/104,648.14 = 57,403.48/x
  3. Step 3: Cross multiply
    69,765.44x = 104,648.14 × 57,403.48
  4. Step 4: Simplify right side
    69,765.44x = 6,007,167,411.53
  5. Step 5: Solve for x
    x = 6,007,167,411.53/69,765.44
  6. Step 6: Final answer
    x = 86,105.20

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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.