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Finding the Fourth Proportional to 56,094.12, 77,414.94 and 39,123

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Solution

The fourth proportional to 56,094.12, 77,414.94 and 39,123 is: 53,993.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,094.12 : 77,414.94 = 39,123 : x
  2. Step 2: Convert to fraction form
    56,094.12/77,414.94 = 39,123/x
  3. Step 3: Cross multiply
    56,094.12x = 77,414.94 × 39,123
  4. Step 4: Simplify right side
    56,094.12x = 3,028,704,697.62
  5. Step 5: Solve for x
    x = 3,028,704,697.62/56,094.12
  6. Step 6: Final answer
    x = 53,993.27

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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.