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Finding the Fourth Proportional to 55,658.50, 83,349.26 and 38,940.26

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Solution

The fourth proportional to 55,658.50, 83,349.26 and 38,940.26 is: 58,313.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,658.50 : 83,349.26 = 38,940.26 : x
  2. Step 2: Convert to fraction form
    55,658.50/83,349.26 = 38,940.26/x
  3. Step 3: Cross multiply
    55,658.50x = 83,349.26 × 38,940.26
  4. Step 4: Simplify right side
    55,658.50x = 3,245,641,243.76
  5. Step 5: Solve for x
    x = 3,245,641,243.76/55,658.50
  6. Step 6: Final answer
    x = 58,313.49

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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.