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Finding the Fourth Proportional to 101,676.25, 152,514.38 and 27,804.25

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Solution

The fourth proportional to 101,676.25, 152,514.38 and 27,804.25 is: 41,706.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,676.25 : 152,514.38 = 27,804.25 : x
  2. Step 2: Convert to fraction form
    101,676.25/152,514.38 = 27,804.25/x
  3. Step 3: Cross multiply
    101,676.25x = 152,514.38 × 27,804.25
  4. Step 4: Simplify right side
    101,676.25x = 4,240,547,950.12
  5. Step 5: Solve for x
    x = 4,240,547,950.12/101,676.25
  6. Step 6: Final answer
    x = 41,706.38

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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.