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Finding the Fourth Proportional to 50,278, 69,385.80 and 27,922

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Solution

The fourth proportional to 50,278, 69,385.80 and 27,922 is: 38,533.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,278 : 69,385.80 = 27,922 : x
  2. Step 2: Convert to fraction form
    50,278/69,385.80 = 27,922/x
  3. Step 3: Cross multiply
    50,278x = 69,385.80 × 27,922
  4. Step 4: Simplify right side
    50,278x = 1,937,390,307.60
  5. Step 5: Solve for x
    x = 1,937,390,307.60/50,278
  6. Step 6: Final answer
    x = 38,533.56

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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.