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Finding the Fourth Proportional to 30,722.60, 46,040.60 and 24,454.74

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Solution

The fourth proportional to 30,722.60, 46,040.60 and 24,454.74 is: 36,647.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,722.60 : 46,040.60 = 24,454.74 : x
  2. Step 2: Convert to fraction form
    30,722.60/46,040.60 = 24,454.74/x
  3. Step 3: Cross multiply
    30,722.60x = 46,040.60 × 24,454.74
  4. Step 4: Simplify right side
    30,722.60x = 1,125,910,902.44
  5. Step 5: Solve for x
    x = 1,125,910,902.44/30,722.60
  6. Step 6: Final answer
    x = 36,647.64

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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.