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Finding the Fourth Proportional to 33,185.89, 49,779.24 and 9,812.80

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Solution

The fourth proportional to 33,185.89, 49,779.24 and 9,812.80 is: 14,719.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,185.89 : 49,779.24 = 9,812.80 : x
  2. Step 2: Convert to fraction form
    33,185.89/49,779.24 = 9,812.80/x
  3. Step 3: Cross multiply
    33,185.89x = 49,779.24 × 9,812.80
  4. Step 4: Simplify right side
    33,185.89x = 488,473,726.27
  5. Step 5: Solve for x
    x = 488,473,726.27/33,185.89
  6. Step 6: Final answer
    x = 14,719.32

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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.