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Finding the Fourth Proportional to 38,201, 52,716.96 and 21,205.38

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Solution

The fourth proportional to 38,201, 52,716.96 and 21,205.38 is: 29,263.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,201 : 52,716.96 = 21,205.38 : x
  2. Step 2: Convert to fraction form
    38,201/52,716.96 = 21,205.38/x
  3. Step 3: Cross multiply
    38,201x = 52,716.96 × 21,205.38
  4. Step 4: Simplify right side
    38,201x = 1,117,883,169.24
  5. Step 5: Solve for x
    x = 1,117,883,169.24/38,201
  6. Step 6: Final answer
    x = 29,263.19

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Why These Related Problems?

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