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Finding the Fourth Proportional to 106,604.48, 159,877.52 and 40,039.46

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Solution

The fourth proportional to 106,604.48, 159,877.52 and 40,039.46 is: 60,048.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,604.48 : 159,877.52 = 40,039.46 : x
  2. Step 2: Convert to fraction form
    106,604.48/159,877.52 = 40,039.46/x
  3. Step 3: Cross multiply
    106,604.48x = 159,877.52 × 40,039.46
  4. Step 4: Simplify right side
    106,604.48x = 6,401,409,566.94
  5. Step 5: Solve for x
    x = 6,401,409,566.94/106,604.48
  6. Step 6: Final answer
    x = 60,048.22

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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.