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Finding the Fourth Proportional to 56,100, 84,085.44 and 22,783.50

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Solution

The fourth proportional to 56,100, 84,085.44 and 22,783.50 is: 34,149.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,100 : 84,085.44 = 22,783.50 : x
  2. Step 2: Convert to fraction form
    56,100/84,085.44 = 22,783.50/x
  3. Step 3: Cross multiply
    56,100x = 84,085.44 × 22,783.50
  4. Step 4: Simplify right side
    56,100x = 1,915,760,622.24
  5. Step 5: Solve for x
    x = 1,915,760,622.24/56,100
  6. Step 6: Final answer
    x = 34,149.03

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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.