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Finding the Fourth Proportional to 106,360.56, 159,581.34 and 39,830.40

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Solution

The fourth proportional to 106,360.56, 159,581.34 and 39,830.40 is: 59,760.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,360.56 : 159,581.34 = 39,830.40 : x
  2. Step 2: Convert to fraction form
    106,360.56/159,581.34 = 39,830.40/x
  3. Step 3: Cross multiply
    106,360.56x = 159,581.34 × 39,830.40
  4. Step 4: Simplify right side
    106,360.56x = 6,356,188,604.74
  5. Step 5: Solve for x
    x = 6,356,188,604.74/106,360.56
  6. Step 6: Final answer
    x = 59,760.77

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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.