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Finding the Fourth Proportional to 54,199.32, 81,193.77 and 39,941.90

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Solution

The fourth proportional to 54,199.32, 81,193.77 and 39,941.90 is: 59,835.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,199.32 : 81,193.77 = 39,941.90 : x
  2. Step 2: Convert to fraction form
    54,199.32/81,193.77 = 39,941.90/x
  3. Step 3: Cross multiply
    54,199.32x = 81,193.77 × 39,941.90
  4. Step 4: Simplify right side
    54,199.32x = 3,243,033,441.96
  5. Step 5: Solve for x
    x = 3,243,033,441.96/54,199.32
  6. Step 6: Final answer
    x = 59,835.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.