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Finding the Fourth Proportional to 103,863.80, 155,795.60 and 24,978

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Solution

The fourth proportional to 103,863.80, 155,795.60 and 24,978 is: 37,466.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,863.80 : 155,795.60 = 24,978 : x
  2. Step 2: Convert to fraction form
    103,863.80/155,795.60 = 24,978/x
  3. Step 3: Cross multiply
    103,863.80x = 155,795.60 × 24,978
  4. Step 4: Simplify right side
    103,863.80x = 3,891,462,496.80
  5. Step 5: Solve for x
    x = 3,891,462,496.80/103,863.80
  6. Step 6: Final answer
    x = 37,466.98

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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.