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Finding the Fourth Proportional to 38,361.16, 57,522.12 and 17,566.84

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Solution

The fourth proportional to 38,361.16, 57,522.12 and 17,566.84 is: 26,341.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,361.16 : 57,522.12 = 17,566.84 : x
  2. Step 2: Convert to fraction form
    38,361.16/57,522.12 = 17,566.84/x
  3. Step 3: Cross multiply
    38,361.16x = 57,522.12 × 17,566.84
  4. Step 4: Simplify right side
    38,361.16x = 1,010,481,878.50
  5. Step 5: Solve for x
    x = 1,010,481,878.50/38,361.16
  6. Step 6: Final answer
    x = 26,341.28

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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.