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Finding the Fourth Proportional to 80,931.81, 111,683.70 and 46,938.12

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Solution

The fourth proportional to 80,931.81, 111,683.70 and 46,938.12 is: 64,773.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,931.81 : 111,683.70 = 46,938.12 : x
  2. Step 2: Convert to fraction form
    80,931.81/111,683.70 = 46,938.12/x
  3. Step 3: Cross multiply
    80,931.81x = 111,683.70 × 46,938.12
  4. Step 4: Simplify right side
    80,931.81x = 5,242,222,912.64
  5. Step 5: Solve for x
    x = 5,242,222,912.64/80,931.81
  6. Step 6: Final answer
    x = 64,773.33

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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.