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Finding the Fourth Proportional to 110,042.78, 165,022.05 and 46,823.36

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Solution

The fourth proportional to 110,042.78, 165,022.05 and 46,823.36 is: 70,217.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,042.78 : 165,022.05 = 46,823.36 : x
  2. Step 2: Convert to fraction form
    110,042.78/165,022.05 = 46,823.36/x
  3. Step 3: Cross multiply
    110,042.78x = 165,022.05 × 46,823.36
  4. Step 4: Simplify right side
    110,042.78x = 7,726,886,855.09
  5. Step 5: Solve for x
    x = 7,726,886,855.09/110,042.78
  6. Step 6: Final answer
    x = 70,217.12

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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.