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Finding the Fourth Proportional to 106,460.52, 159,705.36 and 36,321

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Solution

The fourth proportional to 106,460.52, 159,705.36 and 36,321 is: 54,486.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,460.52 : 159,705.36 = 36,321 : x
  2. Step 2: Convert to fraction form
    106,460.52/159,705.36 = 36,321/x
  3. Step 3: Cross multiply
    106,460.52x = 159,705.36 × 36,321
  4. Step 4: Simplify right side
    106,460.52x = 5,800,658,380.56
  5. Step 5: Solve for x
    x = 5,800,658,380.56/106,460.52
  6. Step 6: Final answer
    x = 54,486.47

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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.