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Finding the Fourth Proportional to 50,039, 69,056 and 27,683

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Solution

The fourth proportional to 50,039, 69,056 and 27,683 is: 38,203.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,039 : 69,056 = 27,683 : x
  2. Step 2: Convert to fraction form
    50,039/69,056 = 27,683/x
  3. Step 3: Cross multiply
    50,039x = 69,056 × 27,683
  4. Step 4: Simplify right side
    50,039x = 1,911,677,248
  5. Step 5: Solve for x
    x = 1,911,677,248/50,039
  6. Step 6: Final answer
    x = 38,203.75

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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.