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Finding the Fourth Proportional to 65,189.96, 89,963.52 and 39,697.44

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Solution

The fourth proportional to 65,189.96, 89,963.52 and 39,697.44 is: 54,783.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,189.96 : 89,963.52 = 39,697.44 : x
  2. Step 2: Convert to fraction form
    65,189.96/89,963.52 = 39,697.44/x
  3. Step 3: Cross multiply
    65,189.96x = 89,963.52 × 39,697.44
  4. Step 4: Simplify right side
    65,189.96x = 3,571,321,437.39
  5. Step 5: Solve for x
    x = 3,571,321,437.39/65,189.96
  6. Step 6: Final answer
    x = 54,783.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.