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Finding the Fourth Proportional to 105,771.38, 145,966.79 and 58,024.73

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Solution

The fourth proportional to 105,771.38, 145,966.79 and 58,024.73 is: 80,075.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,771.38 : 145,966.79 = 58,024.73 : x
  2. Step 2: Convert to fraction form
    105,771.38/145,966.79 = 58,024.73/x
  3. Step 3: Cross multiply
    105,771.38x = 145,966.79 × 58,024.73
  4. Step 4: Simplify right side
    105,771.38x = 8,469,684,088.70
  5. Step 5: Solve for x
    x = 8,469,684,088.70/105,771.38
  6. Step 6: Final answer
    x = 80,075.39

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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.