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Finding the Fourth Proportional to 31,100.25, 46,650.24 and 7,726.71

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Solution

The fourth proportional to 31,100.25, 46,650.24 and 7,726.71 is: 11,590.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,100.25 : 46,650.24 = 7,726.71 : x
  2. Step 2: Convert to fraction form
    31,100.25/46,650.24 = 7,726.71/x
  3. Step 3: Cross multiply
    31,100.25x = 46,650.24 × 7,726.71
  4. Step 4: Simplify right side
    31,100.25x = 360,452,875.91
  5. Step 5: Solve for x
    x = 360,452,875.91/31,100.25
  6. Step 6: Final answer
    x = 11,590.03

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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.