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Finding the Fourth Proportional to 38,197.14, 52,711.07 and 21,200.51

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Solution

The fourth proportional to 38,197.14, 52,711.07 and 21,200.51 is: 29,256.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,197.14 : 52,711.07 = 21,200.51 : x
  2. Step 2: Convert to fraction form
    38,197.14/52,711.07 = 21,200.51/x
  3. Step 3: Cross multiply
    38,197.14x = 52,711.07 × 21,200.51
  4. Step 4: Simplify right side
    38,197.14x = 1,117,501,197.09
  5. Step 5: Solve for x
    x = 1,117,501,197.09/38,197.14
  6. Step 6: Final answer
    x = 29,256.15

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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.