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Finding the Fourth Proportional to 45,383.90, 68,083.16 and 19,096.16

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Solution

The fourth proportional to 45,383.90, 68,083.16 and 19,096.16 is: 28,647.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,383.90 : 68,083.16 = 19,096.16 : x
  2. Step 2: Convert to fraction form
    45,383.90/68,083.16 = 19,096.16/x
  3. Step 3: Cross multiply
    45,383.90x = 68,083.16 × 19,096.16
  4. Step 4: Simplify right side
    45,383.90x = 1,300,126,480.77
  5. Step 5: Solve for x
    x = 1,300,126,480.77/45,383.90
  6. Step 6: Final answer
    x = 28,647.31

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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.