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Finding the Fourth Proportional to 113,083.20, 169,624.80 and 29,977.20

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Solution

The fourth proportional to 113,083.20, 169,624.80 and 29,977.20 is: 44,965.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,083.20 : 169,624.80 = 29,977.20 : x
  2. Step 2: Convert to fraction form
    113,083.20/169,624.80 = 29,977.20/x
  3. Step 3: Cross multiply
    113,083.20x = 169,624.80 × 29,977.20
  4. Step 4: Simplify right side
    113,083.20x = 5,084,876,554.56
  5. Step 5: Solve for x
    x = 5,084,876,554.56/113,083.20
  6. Step 6: Final answer
    x = 44,965.80

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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.