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Finding the Fourth Proportional to 49,578, 68,419.26 and 27,222

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Solution

The fourth proportional to 49,578, 68,419.26 and 27,222 is: 37,567.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,578 : 68,419.26 = 27,222 : x
  2. Step 2: Convert to fraction form
    49,578/68,419.26 = 27,222/x
  3. Step 3: Cross multiply
    49,578x = 68,419.26 × 27,222
  4. Step 4: Simplify right side
    49,578x = 1,862,509,095.72
  5. Step 5: Solve for x
    x = 1,862,509,095.72/49,578
  6. Step 6: Final answer
    x = 37,567.25

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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.