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Finding the Fourth Proportional to 105,794.78, 145,996.97 and 58,048.48

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Solution

The fourth proportional to 105,794.78, 145,996.97 and 58,048.48 is: 80,107.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,794.78 : 145,996.97 = 58,048.48 : x
  2. Step 2: Convert to fraction form
    105,794.78/145,996.97 = 58,048.48/x
  3. Step 3: Cross multiply
    105,794.78x = 145,996.97 × 58,048.48
  4. Step 4: Simplify right side
    105,794.78x = 8,474,902,085.36
  5. Step 5: Solve for x
    x = 8,474,902,085.36/105,794.78
  6. Step 6: Final answer
    x = 80,107.00

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1.5x scale

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.