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Finding the Fourth Proportional to 38,851.89, 53,615.53 and 21,856.15

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Solution

The fourth proportional to 38,851.89, 53,615.53 and 21,856.15 is: 30,161.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,851.89 : 53,615.53 = 21,856.15 : x
  2. Step 2: Convert to fraction form
    38,851.89/53,615.53 = 21,856.15/x
  3. Step 3: Cross multiply
    38,851.89x = 53,615.53 × 21,856.15
  4. Step 4: Simplify right side
    38,851.89x = 1,171,828,743.29
  5. Step 5: Solve for x
    x = 1,171,828,743.29/38,851.89
  6. Step 6: Final answer
    x = 30,161.44

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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.