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Finding the Fourth Proportional to 44,005.36, 66,010.92 and 12,838

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Solution

The fourth proportional to 44,005.36, 66,010.92 and 12,838 is: 19,257.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,005.36 : 66,010.92 = 12,838 : x
  2. Step 2: Convert to fraction form
    44,005.36/66,010.92 = 12,838/x
  3. Step 3: Cross multiply
    44,005.36x = 66,010.92 × 12,838
  4. Step 4: Simplify right side
    44,005.36x = 847,448,190.96
  5. Step 5: Solve for x
    x = 847,448,190.96/44,005.36
  6. Step 6: Final answer
    x = 19,257.84

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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.