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Finding the Fourth Proportional to 29,969.20, 44,954.52 and 7,783.48

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Solution

The fourth proportional to 29,969.20, 44,954.52 and 7,783.48 is: 11,675.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,969.20 : 44,954.52 = 7,783.48 : x
  2. Step 2: Convert to fraction form
    29,969.20/44,954.52 = 7,783.48/x
  3. Step 3: Cross multiply
    29,969.20x = 44,954.52 × 7,783.48
  4. Step 4: Simplify right side
    29,969.20x = 349,902,607.33
  5. Step 5: Solve for x
    x = 349,902,607.33/29,969.20
  6. Step 6: Final answer
    x = 11,675.41

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1.5x scale

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.