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Finding the Fourth Proportional to 50,222.65, 69,307.80 and 27,560.98

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Solution

The fourth proportional to 50,222.65, 69,307.80 and 27,560.98 is: 38,034.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,222.65 : 69,307.80 = 27,560.98 : x
  2. Step 2: Convert to fraction form
    50,222.65/69,307.80 = 27,560.98/x
  3. Step 3: Cross multiply
    50,222.65x = 69,307.80 × 27,560.98
  4. Step 4: Simplify right side
    50,222.65x = 1,910,190,889.64
  5. Step 5: Solve for x
    x = 1,910,190,889.64/50,222.65
  6. Step 6: Final answer
    x = 38,034.45

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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.