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Finding the Fourth Proportional to 53,738.40, 80,578.80 and 22,538.40

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Solution

The fourth proportional to 53,738.40, 80,578.80 and 22,538.40 is: 33,795.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,738.40 : 80,578.80 = 22,538.40 : x
  2. Step 2: Convert to fraction form
    53,738.40/80,578.80 = 22,538.40/x
  3. Step 3: Cross multiply
    53,738.40x = 80,578.80 × 22,538.40
  4. Step 4: Simplify right side
    53,738.40x = 1,816,117,225.92
  5. Step 5: Solve for x
    x = 1,816,117,225.92/53,738.40
  6. Step 6: Final answer
    x = 33,795.52

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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.