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Finding the Fourth Proportional to 55,996, 83,994 and 23,164

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Solution

The fourth proportional to 55,996, 83,994 and 23,164 is: 34,746

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,996 : 83,994 = 23,164 : x
  2. Step 2: Convert to fraction form
    55,996/83,994 = 23,164/x
  3. Step 3: Cross multiply
    55,996x = 83,994 × 23,164
  4. Step 4: Simplify right side
    55,996x = 1,945,637,016
  5. Step 5: Solve for x
    x = 1,945,637,016/55,996
  6. Step 6: Final answer
    x = 34,746

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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.