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Finding the Fourth Proportional to 51,707.56, 77,557 and 20,534.44

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Solution

The fourth proportional to 51,707.56, 77,557 and 20,534.44 is: 30,799.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,707.56 : 77,557 = 20,534.44 : x
  2. Step 2: Convert to fraction form
    51,707.56/77,557 = 20,534.44/x
  3. Step 3: Cross multiply
    51,707.56x = 77,557 × 20,534.44
  4. Step 4: Simplify right side
    51,707.56x = 1,592,589,563.08
  5. Step 5: Solve for x
    x = 1,592,589,563.08/51,707.56
  6. Step 6: Final answer
    x = 30,799.94

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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.