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Finding the Fourth Proportional to 75,054.72, 103,571.52 and 41,520

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Solution

The fourth proportional to 75,054.72, 103,571.52 and 41,520 is: 57,295.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,054.72 : 103,571.52 = 41,520 : x
  2. Step 2: Convert to fraction form
    75,054.72/103,571.52 = 41,520/x
  3. Step 3: Cross multiply
    75,054.72x = 103,571.52 × 41,520
  4. Step 4: Simplify right side
    75,054.72x = 4,300,289,510.40
  5. Step 5: Solve for x
    x = 4,300,289,510.40/75,054.72
  6. Step 6: Final answer
    x = 57,295.39

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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.