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Finding the Fourth Proportional to 51,460.76, 77,191.02 and 33,802.88

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Solution

The fourth proportional to 51,460.76, 77,191.02 and 33,802.88 is: 50,704.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,460.76 : 77,191.02 = 33,802.88 : x
  2. Step 2: Convert to fraction form
    51,460.76/77,191.02 = 33,802.88/x
  3. Step 3: Cross multiply
    51,460.76x = 77,191.02 × 33,802.88
  4. Step 4: Simplify right side
    51,460.76x = 2,609,278,786.14
  5. Step 5: Solve for x
    x = 2,609,278,786.14/51,460.76
  6. Step 6: Final answer
    x = 50,704.24

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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.