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Finding the Fourth Proportional to 38,407, 53,001.68 and 20,743

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Solution

The fourth proportional to 38,407, 53,001.68 and 20,743 is: 28,625.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,407 : 53,001.68 = 20,743 : x
  2. Step 2: Convert to fraction form
    38,407/53,001.68 = 20,743/x
  3. Step 3: Cross multiply
    38,407x = 53,001.68 × 20,743
  4. Step 4: Simplify right side
    38,407x = 1,099,413,848.24
  5. Step 5: Solve for x
    x = 1,099,413,848.24/38,407
  6. Step 6: Final answer
    x = 28,625.35

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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.