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Finding the Fourth Proportional to 31,201.88, 46,807.34 and 9,015.44

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Solution

The fourth proportional to 31,201.88, 46,807.34 and 9,015.44 is: 13,524.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,201.88 : 46,807.34 = 9,015.44 : x
  2. Step 2: Convert to fraction form
    31,201.88/46,807.34 = 9,015.44/x
  3. Step 3: Cross multiply
    31,201.88x = 46,807.34 × 9,015.44
  4. Step 4: Simplify right side
    31,201.88x = 421,988,486.22
  5. Step 5: Solve for x
    x = 421,988,486.22/31,201.88
  6. Step 6: Final answer
    x = 13,524.46

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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.