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Finding the Fourth Proportional to 106,543.85, 159,774.21 and 39,947.67

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Solution

The fourth proportional to 106,543.85, 159,774.21 and 39,947.67 is: 59,905.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,543.85 : 159,774.21 = 39,947.67 : x
  2. Step 2: Convert to fraction form
    106,543.85/159,774.21 = 39,947.67/x
  3. Step 3: Cross multiply
    106,543.85x = 159,774.21 × 39,947.67
  4. Step 4: Simplify right side
    106,543.85x = 6,382,607,415.59
  5. Step 5: Solve for x
    x = 6,382,607,415.59/106,543.85
  6. Step 6: Final answer
    x = 59,905.92

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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.