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Finding the Fourth Proportional to 38,478.51, 53,100.59 and 22,563.23

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Solution

The fourth proportional to 38,478.51, 53,100.59 and 22,563.23 is: 31,137.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,478.51 : 53,100.59 = 22,563.23 : x
  2. Step 2: Convert to fraction form
    38,478.51/53,100.59 = 22,563.23/x
  3. Step 3: Cross multiply
    38,478.51x = 53,100.59 × 22,563.23
  4. Step 4: Simplify right side
    38,478.51x = 1,198,120,446.99
  5. Step 5: Solve for x
    x = 1,198,120,446.99/38,478.51
  6. Step 6: Final answer
    x = 31,137.39

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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.