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Finding the Fourth Proportional to 37,828.16, 52,209.18 and 21,922.28

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Solution

The fourth proportional to 37,828.16, 52,209.18 and 21,922.28 is: 30,256.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,828.16 : 52,209.18 = 21,922.28 : x
  2. Step 2: Convert to fraction form
    37,828.16/52,209.18 = 21,922.28/x
  3. Step 3: Cross multiply
    37,828.16x = 52,209.18 × 21,922.28
  4. Step 4: Simplify right side
    37,828.16x = 1,144,544,262.53
  5. Step 5: Solve for x
    x = 1,144,544,262.53/37,828.16
  6. Step 6: Final answer
    x = 30,256.41

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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.