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Finding the Fourth Proportional to 31,205.44, 46,798.92 and 9,019.02

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Solution

The fourth proportional to 31,205.44, 46,798.92 and 9,019.02 is: 13,525.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,205.44 : 46,798.92 = 9,019.02 : x
  2. Step 2: Convert to fraction form
    31,205.44/46,798.92 = 9,019.02/x
  3. Step 3: Cross multiply
    31,205.44x = 46,798.92 × 9,019.02
  4. Step 4: Simplify right side
    31,205.44x = 422,080,395.46
  5. Step 5: Solve for x
    x = 422,080,395.46/31,205.44
  6. Step 6: Final answer
    x = 13,525.86

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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.