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Finding the Fourth Proportional to 80,214.38, 110,725.00 and 46,680.38

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Solution

The fourth proportional to 80,214.38, 110,725.00 and 46,680.38 is: 64,435.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,214.38 : 110,725.00 = 46,680.38 : x
  2. Step 2: Convert to fraction form
    80,214.38/110,725.00 = 46,680.38/x
  3. Step 3: Cross multiply
    80,214.38x = 110,725.00 × 46,680.38
  4. Step 4: Simplify right side
    80,214.38x = 5,168,684,405.17
  5. Step 5: Solve for x
    x = 5,168,684,405.17/80,214.38
  6. Step 6: Final answer
    x = 64,435.89

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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.