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Finding the Fourth Proportional to 30,971.62, 42,758.56 and 20,392

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Solution

The fourth proportional to 30,971.62, 42,758.56 and 20,392 is: 28,152.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,971.62 : 42,758.56 = 20,392 : x
  2. Step 2: Convert to fraction form
    30,971.62/42,758.56 = 20,392/x
  3. Step 3: Cross multiply
    30,971.62x = 42,758.56 × 20,392
  4. Step 4: Simplify right side
    30,971.62x = 871,932,555.52
  5. Step 5: Solve for x
    x = 871,932,555.52/30,971.62
  6. Step 6: Final answer
    x = 28,152.63

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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.