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Finding the Fourth Proportional to 81,364.14, 122,026.50 and 31,412.34

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Solution

The fourth proportional to 81,364.14, 122,026.50 and 31,412.34 is: 47,110.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,364.14 : 122,026.50 = 31,412.34 : x
  2. Step 2: Convert to fraction form
    81,364.14/122,026.50 = 31,412.34/x
  3. Step 3: Cross multiply
    81,364.14x = 122,026.50 × 31,412.34
  4. Step 4: Simplify right side
    81,364.14x = 3,833,137,907.01
  5. Step 5: Solve for x
    x = 3,833,137,907.01/81,364.14
  6. Step 6: Final answer
    x = 47,110.90

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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.