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Finding the Fourth Proportional to 50,311.64, 69,430.70 and 27,653.10

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Solution

The fourth proportional to 50,311.64, 69,430.70 and 27,653.10 is: 38,161.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,311.64 : 69,430.70 = 27,653.10 : x
  2. Step 2: Convert to fraction form
    50,311.64/69,430.70 = 27,653.10/x
  3. Step 3: Cross multiply
    50,311.64x = 69,430.70 × 27,653.10
  4. Step 4: Simplify right side
    50,311.64x = 1,919,974,090.17
  5. Step 5: Solve for x
    x = 1,919,974,090.17/50,311.64
  6. Step 6: Final answer
    x = 38,161.63

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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.