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Finding the Fourth Proportional to 38,661.63, 53,352.14 and 22,747.11

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Solution

The fourth proportional to 38,661.63, 53,352.14 and 22,747.11 is: 31,390.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,661.63 : 53,352.14 = 22,747.11 : x
  2. Step 2: Convert to fraction form
    38,661.63/53,352.14 = 22,747.11/x
  3. Step 3: Cross multiply
    38,661.63x = 53,352.14 × 22,747.11
  4. Step 4: Simplify right side
    38,661.63x = 1,213,606,787.42
  5. Step 5: Solve for x
    x = 1,213,606,787.42/38,661.63
  6. Step 6: Final answer
    x = 31,390.48

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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.