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Finding the Fourth Proportional to 106,525.85, 159,782.50 and 39,960.40

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Solution

The fourth proportional to 106,525.85, 159,782.50 and 39,960.40 is: 59,938.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,525.85 : 159,782.50 = 39,960.40 : x
  2. Step 2: Convert to fraction form
    106,525.85/159,782.50 = 39,960.40/x
  3. Step 3: Cross multiply
    106,525.85x = 159,782.50 × 39,960.40
  4. Step 4: Simplify right side
    106,525.85x = 6,384,972,613
  5. Step 5: Solve for x
    x = 6,384,972,613/106,525.85
  6. Step 6: Final answer
    x = 59,938.25

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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.