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Finding the Fourth Proportional to 76,668, 115,003.04 and 24,077.49

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Solution

The fourth proportional to 76,668, 115,003.04 and 24,077.49 is: 36,116.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,668 : 115,003.04 = 24,077.49 : x
  2. Step 2: Convert to fraction form
    76,668/115,003.04 = 24,077.49/x
  3. Step 3: Cross multiply
    76,668x = 115,003.04 × 24,077.49
  4. Step 4: Simplify right side
    76,668x = 2,768,984,425.18
  5. Step 5: Solve for x
    x = 2,768,984,425.18/76,668
  6. Step 6: Final answer
    x = 36,116.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.