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Finding the Fourth Proportional to 101,676.84, 152,514.49 and 30,599.17

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Solution

The fourth proportional to 101,676.84, 152,514.49 and 30,599.17 is: 45,898.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,676.84 : 152,514.49 = 30,599.17 : x
  2. Step 2: Convert to fraction form
    101,676.84/152,514.49 = 30,599.17/x
  3. Step 3: Cross multiply
    101,676.84x = 152,514.49 × 30,599.17
  4. Step 4: Simplify right side
    101,676.84x = 4,666,816,806.97
  5. Step 5: Solve for x
    x = 4,666,816,806.97/101,676.84
  6. Step 6: Final answer
    x = 45,898.52

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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.