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Finding the Fourth Proportional to 38,094.82, 52,568.22 and 21,097.84

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Solution

The fourth proportional to 38,094.82, 52,568.22 and 21,097.84 is: 29,113.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,094.82 : 52,568.22 = 21,097.84 : x
  2. Step 2: Convert to fraction form
    38,094.82/52,568.22 = 21,097.84/x
  3. Step 3: Cross multiply
    38,094.82x = 52,568.22 × 21,097.84
  4. Step 4: Simplify right side
    38,094.82x = 1,109,075,894.64
  5. Step 5: Solve for x
    x = 1,109,075,894.64/38,094.82
  6. Step 6: Final answer
    x = 29,113.56

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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.