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Finding the Fourth Proportional to 38,498.89, 53,129.33 and 22,594.81

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Solution

The fourth proportional to 38,498.89, 53,129.33 and 22,594.81 is: 31,181.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,498.89 : 53,129.33 = 22,594.81 : x
  2. Step 2: Convert to fraction form
    38,498.89/53,129.33 = 22,594.81/x
  3. Step 3: Cross multiply
    38,498.89x = 53,129.33 × 22,594.81
  4. Step 4: Simplify right side
    38,498.89x = 1,200,446,907.62
  5. Step 5: Solve for x
    x = 1,200,446,907.62/38,498.89
  6. Step 6: Final answer
    x = 31,181.34

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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.