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Finding the Fourth Proportional to 55,242.94, 82,765.34 and 33,564.98

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Solution

The fourth proportional to 55,242.94, 82,765.34 and 33,564.98 is: 50,287.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,242.94 : 82,765.34 = 33,564.98 : x
  2. Step 2: Convert to fraction form
    55,242.94/82,765.34 = 33,564.98/x
  3. Step 3: Cross multiply
    55,242.94x = 82,765.34 × 33,564.98
  4. Step 4: Simplify right side
    55,242.94x = 2,778,017,335.55
  5. Step 5: Solve for x
    x = 2,778,017,335.55/55,242.94
  6. Step 6: Final answer
    x = 50,287.29

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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.