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Finding the Fourth Proportional to 55,213.38, 76,237.43 and 42,446.79

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Solution

The fourth proportional to 55,213.38, 76,237.43 and 42,446.79 is: 58,609.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,213.38 : 76,237.43 = 42,446.79 : x
  2. Step 2: Convert to fraction form
    55,213.38/76,237.43 = 42,446.79/x
  3. Step 3: Cross multiply
    55,213.38x = 76,237.43 × 42,446.79
  4. Step 4: Simplify right side
    55,213.38x = 3,236,033,969.12
  5. Step 5: Solve for x
    x = 3,236,033,969.12/55,213.38
  6. Step 6: Final answer
    x = 58,609.60

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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.