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Finding the Fourth Proportional to 106,624.88, 159,959.87 and 40,065.59

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Solution

The fourth proportional to 106,624.88, 159,959.87 and 40,065.59 is: 60,106.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,624.88 : 159,959.87 = 40,065.59 : x
  2. Step 2: Convert to fraction form
    106,624.88/159,959.87 = 40,065.59/x
  3. Step 3: Cross multiply
    106,624.88x = 159,959.87 × 40,065.59
  4. Step 4: Simplify right side
    106,624.88x = 6,408,885,943.36
  5. Step 5: Solve for x
    x = 6,408,885,943.36/106,624.88
  6. Step 6: Final answer
    x = 60,106.85

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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.