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Finding the Fourth Proportional to 80,214.05, 110,698 and 46,219.90

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Solution

The fourth proportional to 80,214.05, 110,698 and 46,219.90 is: 63,784.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,214.05 : 110,698 = 46,219.90 : x
  2. Step 2: Convert to fraction form
    80,214.05/110,698 = 46,219.90/x
  3. Step 3: Cross multiply
    80,214.05x = 110,698 × 46,219.90
  4. Step 4: Simplify right side
    80,214.05x = 5,116,450,490.20
  5. Step 5: Solve for x
    x = 5,116,450,490.20/80,214.05
  6. Step 6: Final answer
    x = 63,784.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.