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Finding the Fourth Proportional to 195,022, 292,533 and 47,278

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Solution

The fourth proportional to 195,022, 292,533 and 47,278 is: 70,917

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,022 : 292,533 = 47,278 : x
  2. Step 2: Convert to fraction form
    195,022/292,533 = 47,278/x
  3. Step 3: Cross multiply
    195,022x = 292,533 × 47,278
  4. Step 4: Simplify right side
    195,022x = 13,830,375,174
  5. Step 5: Solve for x
    x = 13,830,375,174/195,022
  6. Step 6: Final answer
    x = 70,917

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.