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Finding the Fourth Proportional to 31,204.77, 46,807.22 and 9,019.94

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Solution

The fourth proportional to 31,204.77, 46,807.22 and 9,019.94 is: 13,529.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,204.77 : 46,807.22 = 9,019.94 : x
  2. Step 2: Convert to fraction form
    31,204.77/46,807.22 = 9,019.94/x
  3. Step 3: Cross multiply
    31,204.77x = 46,807.22 × 9,019.94
  4. Step 4: Simplify right side
    31,204.77x = 422,198,036.83
  5. Step 5: Solve for x
    x = 422,198,036.83/31,204.77
  6. Step 6: Final answer
    x = 13,529.92

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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.