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Finding the Fourth Proportional to 108,879.84, 163,216.08 and 34,956

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Solution

The fourth proportional to 108,879.84, 163,216.08 and 34,956 is: 52,400.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,879.84 : 163,216.08 = 34,956 : x
  2. Step 2: Convert to fraction form
    108,879.84/163,216.08 = 34,956/x
  3. Step 3: Cross multiply
    108,879.84x = 163,216.08 × 34,956
  4. Step 4: Simplify right side
    108,879.84x = 5,705,381,292.48
  5. Step 5: Solve for x
    x = 5,705,381,292.48/108,879.84
  6. Step 6: Final answer
    x = 52,400.71

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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.