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Finding the Fourth Proportional to 31,798.98, 47,699.49 and 15,995.38

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Solution

The fourth proportional to 31,798.98, 47,699.49 and 15,995.38 is: 23,993.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,798.98 : 47,699.49 = 15,995.38 : x
  2. Step 2: Convert to fraction form
    31,798.98/47,699.49 = 15,995.38/x
  3. Step 3: Cross multiply
    31,798.98x = 47,699.49 × 15,995.38
  4. Step 4: Simplify right side
    31,798.98x = 762,971,468.36
  5. Step 5: Solve for x
    x = 762,971,468.36/31,798.98
  6. Step 6: Final answer
    x = 23,993.58

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1.5x scale

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.