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Finding the Fourth Proportional to 31,023.42, 46,535.49 and 7,649.79

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Solution

The fourth proportional to 31,023.42, 46,535.49 and 7,649.79 is: 11,474.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,023.42 : 46,535.49 = 7,649.79 : x
  2. Step 2: Convert to fraction form
    31,023.42/46,535.49 = 7,649.79/x
  3. Step 3: Cross multiply
    31,023.42x = 46,535.49 × 7,649.79
  4. Step 4: Simplify right side
    31,023.42x = 355,986,726.05
  5. Step 5: Solve for x
    x = 355,986,726.05/31,023.42
  6. Step 6: Final answer
    x = 11,474.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.