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Finding the Fourth Proportional to 80,946.30, 111,703.71 and 46,952.64

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Solution

The fourth proportional to 80,946.30, 111,703.71 and 46,952.64 is: 64,793.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,946.30 : 111,703.71 = 46,952.64 : x
  2. Step 2: Convert to fraction form
    80,946.30/111,703.71 = 46,952.64/x
  3. Step 3: Cross multiply
    80,946.30x = 111,703.71 × 46,952.64
  4. Step 4: Simplify right side
    80,946.30x = 5,244,784,082.29
  5. Step 5: Solve for x
    x = 5,244,784,082.29/80,946.30
  6. Step 6: Final answer
    x = 64,793.38

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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.