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Finding the Fourth Proportional to 70,720.64, 106,089.60 and 23,986.88

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Solution

The fourth proportional to 70,720.64, 106,089.60 and 23,986.88 is: 35,983.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,720.64 : 106,089.60 = 23,986.88 : x
  2. Step 2: Convert to fraction form
    70,720.64/106,089.60 = 23,986.88/x
  3. Step 3: Cross multiply
    70,720.64x = 106,089.60 × 23,986.88
  4. Step 4: Simplify right side
    70,720.64x = 2,544,758,504.45
  5. Step 5: Solve for x
    x = 2,544,758,504.45/70,720.64
  6. Step 6: Final answer
    x = 35,983.25

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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.