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Finding the Fourth Proportional to 80,492.49, 111,084.80 and 46,502.42

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Solution

The fourth proportional to 80,492.49, 111,084.80 and 46,502.42 is: 64,176.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,492.49 : 111,084.80 = 46,502.42 : x
  2. Step 2: Convert to fraction form
    80,492.49/111,084.80 = 46,502.42/x
  3. Step 3: Cross multiply
    80,492.49x = 111,084.80 × 46,502.42
  4. Step 4: Simplify right side
    80,492.49x = 5,165,711,237.28
  5. Step 5: Solve for x
    x = 5,165,711,237.28/80,492.49
  6. Step 6: Final answer
    x = 64,176.31

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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.