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Finding the Fourth Proportional to 38,498.56, 53,179 and 30,973.24

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Solution

The fourth proportional to 38,498.56, 53,179 and 30,973.24 is: 42,784.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,498.56 : 53,179 = 30,973.24 : x
  2. Step 2: Convert to fraction form
    38,498.56/53,179 = 30,973.24/x
  3. Step 3: Cross multiply
    38,498.56x = 53,179 × 30,973.24
  4. Step 4: Simplify right side
    38,498.56x = 1,647,125,929.96
  5. Step 5: Solve for x
    x = 1,647,125,929.96/38,498.56
  6. Step 6: Final answer
    x = 42,784.09

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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.