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Finding the Fourth Proportional to 109,214.66, 163,821.83 and 34,341.32

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Solution

The fourth proportional to 109,214.66, 163,821.83 and 34,341.32 is: 51,511.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,214.66 : 163,821.83 = 34,341.32 : x
  2. Step 2: Convert to fraction form
    109,214.66/163,821.83 = 34,341.32/x
  3. Step 3: Cross multiply
    109,214.66x = 163,821.83 × 34,341.32
  4. Step 4: Simplify right side
    109,214.66x = 5,625,858,124.86
  5. Step 5: Solve for x
    x = 5,625,858,124.86/109,214.66
  6. Step 6: Final answer
    x = 51,511.93

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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.