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Finding the Fourth Proportional to 34,110.64, 47,072.64 and 19,003.20

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Solution

The fourth proportional to 34,110.64, 47,072.64 and 19,003.20 is: 26,224.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,110.64 : 47,072.64 = 19,003.20 : x
  2. Step 2: Convert to fraction form
    34,110.64/47,072.64 = 19,003.20/x
  3. Step 3: Cross multiply
    34,110.64x = 47,072.64 × 19,003.20
  4. Step 4: Simplify right side
    34,110.64x = 894,530,792.45
  5. Step 5: Solve for x
    x = 894,530,792.45/34,110.64
  6. Step 6: Final answer
    x = 26,224.39

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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.