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Finding the Fourth Proportional to 77,234.31, 106,551.36 and 47,015.42

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Solution

The fourth proportional to 77,234.31, 106,551.36 and 47,015.42 is: 64,861.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,234.31 : 106,551.36 = 47,015.42 : x
  2. Step 2: Convert to fraction form
    77,234.31/106,551.36 = 47,015.42/x
  3. Step 3: Cross multiply
    77,234.31x = 106,551.36 × 47,015.42
  4. Step 4: Simplify right side
    77,234.31x = 5,009,556,409.21
  5. Step 5: Solve for x
    x = 5,009,556,409.21/77,234.31
  6. Step 6: Final answer
    x = 64,861.80

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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.