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Finding the Fourth Proportional to 38,193.49, 52,709.70 and 21,199.42

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Solution

The fourth proportional to 38,193.49, 52,709.70 and 21,199.42 is: 29,256.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,193.49 : 52,709.70 = 21,199.42 : x
  2. Step 2: Convert to fraction form
    38,193.49/52,709.70 = 21,199.42/x
  3. Step 3: Cross multiply
    38,193.49x = 52,709.70 × 21,199.42
  4. Step 4: Simplify right side
    38,193.49x = 1,117,415,068.37
  5. Step 5: Solve for x
    x = 1,117,415,068.37/38,193.49
  6. Step 6: Final answer
    x = 29,256.69

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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.