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Finding the Fourth Proportional to 31,533.44, 47,295.84 and 18,392

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Solution

The fourth proportional to 31,533.44, 47,295.84 and 18,392 is: 27,585.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,533.44 : 47,295.84 = 18,392 : x
  2. Step 2: Convert to fraction form
    31,533.44/47,295.84 = 18,392/x
  3. Step 3: Cross multiply
    31,533.44x = 47,295.84 × 18,392
  4. Step 4: Simplify right side
    31,533.44x = 869,865,089.28
  5. Step 5: Solve for x
    x = 869,865,089.28/31,533.44
  6. Step 6: Final answer
    x = 27,585.48

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Why These Related Problems?

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