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Finding the Fourth Proportional to 50,797.64, 70,094.10 and 29,580.68

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Solution

The fourth proportional to 50,797.64, 70,094.10 and 29,580.68 is: 40,817.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,797.64 : 70,094.10 = 29,580.68 : x
  2. Step 2: Convert to fraction form
    50,797.64/70,094.10 = 29,580.68/x
  3. Step 3: Cross multiply
    50,797.64x = 70,094.10 × 29,580.68
  4. Step 4: Simplify right side
    50,797.64x = 2,073,431,141.99
  5. Step 5: Solve for x
    x = 2,073,431,141.99/50,797.64
  6. Step 6: Final answer
    x = 40,817.47

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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.