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Finding the Fourth Proportional to 105,771.62, 145,964.86 and 58,024.96

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Solution

The fourth proportional to 105,771.62, 145,964.86 and 58,024.96 is: 80,074.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,771.62 : 145,964.86 = 58,024.96 : x
  2. Step 2: Convert to fraction form
    105,771.62/145,964.86 = 58,024.96/x
  3. Step 3: Cross multiply
    105,771.62x = 145,964.86 × 58,024.96
  4. Step 4: Simplify right side
    105,771.62x = 8,469,604,816.13
  5. Step 5: Solve for x
    x = 8,469,604,816.13/105,771.62
  6. Step 6: Final answer
    x = 80,074.45

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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.