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Finding the Fourth Proportional to 30,295.88, 41,811.55 and 17,731.16

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Solution

The fourth proportional to 30,295.88, 41,811.55 and 17,731.16 is: 24,470.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,295.88 : 41,811.55 = 17,731.16 : x
  2. Step 2: Convert to fraction form
    30,295.88/41,811.55 = 17,731.16/x
  3. Step 3: Cross multiply
    30,295.88x = 41,811.55 × 17,731.16
  4. Step 4: Simplify right side
    30,295.88x = 741,367,029.51
  5. Step 5: Solve for x
    x = 741,367,029.51/30,295.88
  6. Step 6: Final answer
    x = 24,470.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.