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Finding the Fourth Proportional to 30,321.32, 45,454.03 and 27,830.57

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Solution

The fourth proportional to 30,321.32, 45,454.03 and 27,830.57 is: 41,720.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,321.32 : 45,454.03 = 27,830.57 : x
  2. Step 2: Convert to fraction form
    30,321.32/45,454.03 = 27,830.57/x
  3. Step 3: Cross multiply
    30,321.32x = 45,454.03 × 27,830.57
  4. Step 4: Simplify right side
    30,321.32x = 1,265,011,266.85
  5. Step 5: Solve for x
    x = 1,265,011,266.85/30,321.32
  6. Step 6: Final answer
    x = 41,720.20

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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.