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Finding the Fourth Proportional to 50,494.67, 69,683.13 and 27,834.53

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Solution

The fourth proportional to 50,494.67, 69,683.13 and 27,834.53 is: 38,411.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,494.67 : 69,683.13 = 27,834.53 : x
  2. Step 2: Convert to fraction form
    50,494.67/69,683.13 = 27,834.53/x
  3. Step 3: Cross multiply
    50,494.67x = 69,683.13 × 27,834.53
  4. Step 4: Simplify right side
    50,494.67x = 1,939,597,172.48
  5. Step 5: Solve for x
    x = 1,939,597,172.48/50,494.67
  6. Step 6: Final answer
    x = 38,411.92

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1.5x scale

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.