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Finding the Fourth Proportional to 76,501.80, 114,786.72 and 39,042.09

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Solution

The fourth proportional to 76,501.80, 114,786.72 and 39,042.09 is: 58,580.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,501.80 : 114,786.72 = 39,042.09 : x
  2. Step 2: Convert to fraction form
    76,501.80/114,786.72 = 39,042.09/x
  3. Step 3: Cross multiply
    76,501.80x = 114,786.72 × 39,042.09
  4. Step 4: Simplify right side
    76,501.80x = 4,481,513,453.04
  5. Step 5: Solve for x
    x = 4,481,513,453.04/76,501.80
  6. Step 6: Final answer
    x = 58,580.50

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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.