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Finding the Fourth Proportional to 70,781.44, 106,165.08 and 24,033.60

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Solution

The fourth proportional to 70,781.44, 106,165.08 and 24,033.60 is: 36,048.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,781.44 : 106,165.08 = 24,033.60 : x
  2. Step 2: Convert to fraction form
    70,781.44/106,165.08 = 24,033.60/x
  3. Step 3: Cross multiply
    70,781.44x = 106,165.08 × 24,033.60
  4. Step 4: Simplify right side
    70,781.44x = 2,551,529,066.69
  5. Step 5: Solve for x
    x = 2,551,529,066.69/70,781.44
  6. Step 6: Final answer
    x = 36,048.00

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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.