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Finding the Fourth Proportional to 105,793.92, 145,996.61 and 58,048.99

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Solution

The fourth proportional to 105,793.92, 145,996.61 and 58,048.99 is: 80,108.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,793.92 : 145,996.61 = 58,048.99 : x
  2. Step 2: Convert to fraction form
    105,793.92/145,996.61 = 58,048.99/x
  3. Step 3: Cross multiply
    105,793.92x = 145,996.61 × 58,048.99
  4. Step 4: Simplify right side
    105,793.92x = 8,474,955,098.69
  5. Step 5: Solve for x
    x = 8,474,955,098.69/105,793.92
  6. Step 6: Final answer
    x = 80,108.15

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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.