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Finding the Fourth Proportional to 72,701.52, 108,973.68 and 30,571.80

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Solution

The fourth proportional to 72,701.52, 108,973.68 and 30,571.80 is: 45,824.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,701.52 : 108,973.68 = 30,571.80 : x
  2. Step 2: Convert to fraction form
    72,701.52/108,973.68 = 30,571.80/x
  3. Step 3: Cross multiply
    72,701.52x = 108,973.68 × 30,571.80
  4. Step 4: Simplify right side
    72,701.52x = 3,331,521,550.22
  5. Step 5: Solve for x
    x = 3,331,521,550.22/72,701.52
  6. Step 6: Final answer
    x = 45,824.65

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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.