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Finding the Fourth Proportional to 77,111.60, 106,431.80 and 50,207.28

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Solution

The fourth proportional to 77,111.60, 106,431.80 and 50,207.28 is: 69,297.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,111.60 : 106,431.80 = 50,207.28 : x
  2. Step 2: Convert to fraction form
    77,111.60/106,431.80 = 50,207.28/x
  3. Step 3: Cross multiply
    77,111.60x = 106,431.80 × 50,207.28
  4. Step 4: Simplify right side
    77,111.60x = 5,343,651,183.50
  5. Step 5: Solve for x
    x = 5,343,651,183.50/77,111.60
  6. Step 6: Final answer
    x = 69,297.63

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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.