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Finding the Fourth Proportional to 31,205.36, 46,798.32 and 10,424

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Solution

The fourth proportional to 31,205.36, 46,798.32 and 10,424 is: 15,632.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,205.36 : 46,798.32 = 10,424 : x
  2. Step 2: Convert to fraction form
    31,205.36/46,798.32 = 10,424/x
  3. Step 3: Cross multiply
    31,205.36x = 46,798.32 × 10,424
  4. Step 4: Simplify right side
    31,205.36x = 487,825,687.68
  5. Step 5: Solve for x
    x = 487,825,687.68/31,205.36
  6. Step 6: Final answer
    x = 15,632.75

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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.