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Finding the Fourth Proportional to 49,774.06, 74,693.49 and 45,769.42

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Solution

The fourth proportional to 49,774.06, 74,693.49 and 45,769.42 is: 68,683.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,774.06 : 74,693.49 = 45,769.42 : x
  2. Step 2: Convert to fraction form
    49,774.06/74,693.49 = 45,769.42/x
  3. Step 3: Cross multiply
    49,774.06x = 74,693.49 × 45,769.42
  4. Step 4: Simplify right side
    49,774.06x = 3,418,677,715.08
  5. Step 5: Solve for x
    x = 3,418,677,715.08/49,774.06
  6. Step 6: Final answer
    x = 68,683.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.