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Finding the Fourth Proportional to 106,374.54, 159,576.39 and 47,208.90

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Solution

The fourth proportional to 106,374.54, 159,576.39 and 47,208.90 is: 70,819.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,374.54 : 159,576.39 = 47,208.90 : x
  2. Step 2: Convert to fraction form
    106,374.54/159,576.39 = 47,208.90/x
  3. Step 3: Cross multiply
    106,374.54x = 159,576.39 × 47,208.90
  4. Step 4: Simplify right side
    106,374.54x = 7,533,425,837.87
  5. Step 5: Solve for x
    x = 7,533,425,837.87/106,374.54
  6. Step 6: Final answer
    x = 70,819.82

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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.