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Finding the Fourth Proportional to 109,953.40, 164,930.10 and 47,745.40

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Solution

The fourth proportional to 109,953.40, 164,930.10 and 47,745.40 is: 71,618.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,953.40 : 164,930.10 = 47,745.40 : x
  2. Step 2: Convert to fraction form
    109,953.40/164,930.10 = 47,745.40/x
  3. Step 3: Cross multiply
    109,953.40x = 164,930.10 × 47,745.40
  4. Step 4: Simplify right side
    109,953.40x = 7,874,653,596.54
  5. Step 5: Solve for x
    x = 7,874,653,596.54/109,953.40
  6. Step 6: Final answer
    x = 71,618.10

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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.