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Finding the Fourth Proportional to 30,820.60, 46,230.90 and 29,524.60

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Solution

The fourth proportional to 30,820.60, 46,230.90 and 29,524.60 is: 44,286.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,820.60 : 46,230.90 = 29,524.60 : x
  2. Step 2: Convert to fraction form
    30,820.60/46,230.90 = 29,524.60/x
  3. Step 3: Cross multiply
    30,820.60x = 46,230.90 × 29,524.60
  4. Step 4: Simplify right side
    30,820.60x = 1,364,948,830.14
  5. Step 5: Solve for x
    x = 1,364,948,830.14/30,820.60
  6. Step 6: Final answer
    x = 44,286.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.