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Finding the Fourth Proportional to 50,741.64, 70,023.08 and 30,333.08

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Solution

The fourth proportional to 50,741.64, 70,023.08 and 30,333.08 is: 41,859.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,741.64 : 70,023.08 = 30,333.08 : x
  2. Step 2: Convert to fraction form
    50,741.64/70,023.08 = 30,333.08/x
  3. Step 3: Cross multiply
    50,741.64x = 70,023.08 × 30,333.08
  4. Step 4: Simplify right side
    50,741.64x = 2,124,015,938.38
  5. Step 5: Solve for x
    x = 2,124,015,938.38/50,741.64
  6. Step 6: Final answer
    x = 41,859.43

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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.