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Finding the Fourth Proportional to 31,182.84, 46,782.54 and 8,998.02

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Solution

The fourth proportional to 31,182.84, 46,782.54 and 8,998.02 is: 13,499.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,182.84 : 46,782.54 = 8,998.02 : x
  2. Step 2: Convert to fraction form
    31,182.84/46,782.54 = 8,998.02/x
  3. Step 3: Cross multiply
    31,182.84x = 46,782.54 × 8,998.02
  4. Step 4: Simplify right side
    31,182.84x = 420,950,230.57
  5. Step 5: Solve for x
    x = 420,950,230.57/31,182.84
  6. Step 6: Final answer
    x = 13,499.42

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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.