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Finding the Fourth Proportional to 38,498.31, 53,124.21 and 21,500.19

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Solution

The fourth proportional to 38,498.31, 53,124.21 and 21,500.19 is: 29,668.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,498.31 : 53,124.21 = 21,500.19 : x
  2. Step 2: Convert to fraction form
    38,498.31/53,124.21 = 21,500.19/x
  3. Step 3: Cross multiply
    38,498.31x = 53,124.21 × 21,500.19
  4. Step 4: Simplify right side
    38,498.31x = 1,142,180,608.60
  5. Step 5: Solve for x
    x = 1,142,180,608.60/38,498.31
  6. Step 6: Final answer
    x = 29,668.33

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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.