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Finding the Fourth Proportional to 38,185.14, 52,701.79 and 21,194.87

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Solution

The fourth proportional to 38,185.14, 52,701.79 and 21,194.87 is: 29,252.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,185.14 : 52,701.79 = 21,194.87 : x
  2. Step 2: Convert to fraction form
    38,185.14/52,701.79 = 21,194.87/x
  3. Step 3: Cross multiply
    38,185.14x = 52,701.79 × 21,194.87
  4. Step 4: Simplify right side
    38,185.14x = 1,117,007,271.32
  5. Step 5: Solve for x
    x = 1,117,007,271.32/38,185.14
  6. Step 6: Final answer
    x = 29,252.41

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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.