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Finding the Fourth Proportional to 35,212.98, 52,783.86 and 22,074.54

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Solution

The fourth proportional to 35,212.98, 52,783.86 and 22,074.54 is: 33,089.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,212.98 : 52,783.86 = 22,074.54 : x
  2. Step 2: Convert to fraction form
    35,212.98/52,783.86 = 22,074.54/x
  3. Step 3: Cross multiply
    35,212.98x = 52,783.86 × 22,074.54
  4. Step 4: Simplify right side
    35,212.98x = 1,165,179,428.92
  5. Step 5: Solve for x
    x = 1,165,179,428.92/35,212.98
  6. Step 6: Final answer
    x = 33,089.49

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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.