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Finding the Fourth Proportional to 76,247.38, 105,221.97 and 42,256.42

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Solution

The fourth proportional to 76,247.38, 105,221.97 and 42,256.42 is: 58,314.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,247.38 : 105,221.97 = 42,256.42 : x
  2. Step 2: Convert to fraction form
    76,247.38/105,221.97 = 42,256.42/x
  3. Step 3: Cross multiply
    76,247.38x = 105,221.97 × 42,256.42
  4. Step 4: Simplify right side
    76,247.38x = 4,446,303,757.55
  5. Step 5: Solve for x
    x = 4,446,303,757.55/76,247.38
  6. Step 6: Final answer
    x = 58,314.18

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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.