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Finding the Fourth Proportional to 65,714.40, 98,571.60 and 24,177.60

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Solution

The fourth proportional to 65,714.40, 98,571.60 and 24,177.60 is: 36,266.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,714.40 : 98,571.60 = 24,177.60 : x
  2. Step 2: Convert to fraction form
    65,714.40/98,571.60 = 24,177.60/x
  3. Step 3: Cross multiply
    65,714.40x = 98,571.60 × 24,177.60
  4. Step 4: Simplify right side
    65,714.40x = 2,383,224,716.16
  5. Step 5: Solve for x
    x = 2,383,224,716.16/65,714.40
  6. Step 6: Final answer
    x = 36,266.40

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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.