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Finding the Fourth Proportional to 80,419.89, 110,984.48 and 46,434.60

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Solution

The fourth proportional to 80,419.89, 110,984.48 and 46,434.60 is: 64,082.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,419.89 : 110,984.48 = 46,434.60 : x
  2. Step 2: Convert to fraction form
    80,419.89/110,984.48 = 46,434.60/x
  3. Step 3: Cross multiply
    80,419.89x = 110,984.48 × 46,434.60
  4. Step 4: Simplify right side
    80,419.89x = 5,153,519,702.84
  5. Step 5: Solve for x
    x = 5,153,519,702.84/80,419.89
  6. Step 6: Final answer
    x = 64,082.65

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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.