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Finding the Fourth Proportional to 31,006.88, 46,509.94 and 7,633.52

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Solution

The fourth proportional to 31,006.88, 46,509.94 and 7,633.52 is: 11,450.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,006.88 : 46,509.94 = 7,633.52 : x
  2. Step 2: Convert to fraction form
    31,006.88/46,509.94 = 7,633.52/x
  3. Step 3: Cross multiply
    31,006.88x = 46,509.94 × 7,633.52
  4. Step 4: Simplify right side
    31,006.88x = 355,034,557.19
  5. Step 5: Solve for x
    x = 355,034,557.19/31,006.88
  6. Step 6: Final answer
    x = 11,450.19

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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.