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Finding the Fourth Proportional to 36,994, 51,052.98 and 20,228.08

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Solution

The fourth proportional to 36,994, 51,052.98 and 20,228.08 is: 27,915.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,994 : 51,052.98 = 20,228.08 : x
  2. Step 2: Convert to fraction form
    36,994/51,052.98 = 20,228.08/x
  3. Step 3: Cross multiply
    36,994x = 51,052.98 × 20,228.08
  4. Step 4: Simplify right side
    36,994x = 1,032,703,763.68
  5. Step 5: Solve for x
    x = 1,032,703,763.68/36,994
  6. Step 6: Final answer
    x = 27,915.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.