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Finding the Fourth Proportional to 43,804.26, 65,714.63 and 20,430.70

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Solution

The fourth proportional to 43,804.26, 65,714.63 and 20,430.70 is: 30,649.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,804.26 : 65,714.63 = 20,430.70 : x
  2. Step 2: Convert to fraction form
    43,804.26/65,714.63 = 20,430.70/x
  3. Step 3: Cross multiply
    43,804.26x = 65,714.63 × 20,430.70
  4. Step 4: Simplify right side
    43,804.26x = 1,342,595,624.70
  5. Step 5: Solve for x
    x = 1,342,595,624.70/43,804.26
  6. Step 6: Final answer
    x = 30,649.89

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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.