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Finding the Fourth Proportional to 50,923.38, 70,274.26 and 28,567.38

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Solution

The fourth proportional to 50,923.38, 70,274.26 and 28,567.38 is: 39,422.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,923.38 : 70,274.26 = 28,567.38 : x
  2. Step 2: Convert to fraction form
    50,923.38/70,274.26 = 28,567.38/x
  3. Step 3: Cross multiply
    50,923.38x = 70,274.26 × 28,567.38
  4. Step 4: Simplify right side
    50,923.38x = 2,007,551,489.64
  5. Step 5: Solve for x
    x = 2,007,551,489.64/50,923.38
  6. Step 6: Final answer
    x = 39,422.98

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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.