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Finding the Fourth Proportional to 195,696, 293,544 and 47,952

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Solution

The fourth proportional to 195,696, 293,544 and 47,952 is: 71,928

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,696 : 293,544 = 47,952 : x
  2. Step 2: Convert to fraction form
    195,696/293,544 = 47,952/x
  3. Step 3: Cross multiply
    195,696x = 293,544 × 47,952
  4. Step 4: Simplify right side
    195,696x = 14,076,021,888
  5. Step 5: Solve for x
    x = 14,076,021,888/195,696
  6. Step 6: Final answer
    x = 71,928

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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.