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Finding the Fourth Proportional to 43,714.20, 65,603.70 and 32,050.20

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Solution

The fourth proportional to 43,714.20, 65,603.70 and 32,050.20 is: 48,099.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,714.20 : 65,603.70 = 32,050.20 : x
  2. Step 2: Convert to fraction form
    43,714.20/65,603.70 = 32,050.20/x
  3. Step 3: Cross multiply
    43,714.20x = 65,603.70 × 32,050.20
  4. Step 4: Simplify right side
    43,714.20x = 2,102,611,705.74
  5. Step 5: Solve for x
    x = 2,102,611,705.74/43,714.20
  6. Step 6: Final answer
    x = 48,099.05

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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.