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Finding the Fourth Proportional to 35,745.85, 49,327.05 and 19,829.98

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Solution

The fourth proportional to 35,745.85, 49,327.05 and 19,829.98 is: 27,364.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,745.85 : 49,327.05 = 19,829.98 : x
  2. Step 2: Convert to fraction form
    35,745.85/49,327.05 = 19,829.98/x
  3. Step 3: Cross multiply
    35,745.85x = 49,327.05 × 19,829.98
  4. Step 4: Simplify right side
    35,745.85x = 978,154,414.96
  5. Step 5: Solve for x
    x = 978,154,414.96/35,745.85
  6. Step 6: Final answer
    x = 27,364.14

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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.