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Finding the Fourth Proportional to 38,200.84, 52,716.14 and 21,205.03

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Solution

The fourth proportional to 38,200.84, 52,716.14 and 21,205.03 is: 29,262.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,200.84 : 52,716.14 = 21,205.03 : x
  2. Step 2: Convert to fraction form
    38,200.84/52,716.14 = 21,205.03/x
  3. Step 3: Cross multiply
    38,200.84x = 52,716.14 × 21,205.03
  4. Step 4: Simplify right side
    38,200.84x = 1,117,847,330.18
  5. Step 5: Solve for x
    x = 1,117,847,330.18/38,200.84
  6. Step 6: Final answer
    x = 29,262.38

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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.