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Finding the Fourth Proportional to 43,714.40, 65,474.40 and 33,821.60

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Solution

The fourth proportional to 43,714.40, 65,474.40 and 33,821.60 is: 50,657.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,714.40 : 65,474.40 = 33,821.60 : x
  2. Step 2: Convert to fraction form
    43,714.40/65,474.40 = 33,821.60/x
  3. Step 3: Cross multiply
    43,714.40x = 65,474.40 × 33,821.60
  4. Step 4: Simplify right side
    43,714.40x = 2,214,448,967.04
  5. Step 5: Solve for x
    x = 2,214,448,967.04/43,714.40
  6. Step 6: Final answer
    x = 50,657.20

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1.5x scale

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.