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Finding the Fourth Proportional to 47,378, 71,067.36 and 16,213.52

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Solution

The fourth proportional to 47,378, 71,067.36 and 16,213.52 is: 24,320.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,378 : 71,067.36 = 16,213.52 : x
  2. Step 2: Convert to fraction form
    47,378/71,067.36 = 16,213.52/x
  3. Step 3: Cross multiply
    47,378x = 71,067.36 × 16,213.52
  4. Step 4: Simplify right side
    47,378x = 1,152,252,062.71
  5. Step 5: Solve for x
    x = 1,152,252,062.71/47,378
  6. Step 6: Final answer
    x = 24,320.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.