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Finding the Fourth Proportional to 83,994, 125,991 and 34,746

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Solution

The fourth proportional to 83,994, 125,991 and 34,746 is: 52,119

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,994 : 125,991 = 34,746 : x
  2. Step 2: Convert to fraction form
    83,994/125,991 = 34,746/x
  3. Step 3: Cross multiply
    83,994x = 125,991 × 34,746
  4. Step 4: Simplify right side
    83,994x = 4,377,683,286
  5. Step 5: Solve for x
    x = 4,377,683,286/83,994
  6. Step 6: Final answer
    x = 52,119

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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.