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Finding the Fourth Proportional to 38,573.19, 53,224.92 and 22,444.11

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Solution

The fourth proportional to 38,573.19, 53,224.92 and 22,444.11 is: 30,969.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,573.19 : 53,224.92 = 22,444.11 : x
  2. Step 2: Convert to fraction form
    38,573.19/53,224.92 = 22,444.11/x
  3. Step 3: Cross multiply
    38,573.19x = 53,224.92 × 22,444.11
  4. Step 4: Simplify right side
    38,573.19x = 1,194,585,959.22
  5. Step 5: Solve for x
    x = 1,194,585,959.22/38,573.19
  6. Step 6: Final answer
    x = 30,969.33

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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.