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Finding the Fourth Proportional to 83,145.72, 114,735.80 and 45,420

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Solution

The fourth proportional to 83,145.72, 114,735.80 and 45,420 is: 62,676.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,145.72 : 114,735.80 = 45,420 : x
  2. Step 2: Convert to fraction form
    83,145.72/114,735.80 = 45,420/x
  3. Step 3: Cross multiply
    83,145.72x = 114,735.80 × 45,420
  4. Step 4: Simplify right side
    83,145.72x = 5,211,300,036
  5. Step 5: Solve for x
    x = 5,211,300,036/83,145.72
  6. Step 6: Final answer
    x = 62,676.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.