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Finding the Fourth Proportional to 38,208.60, 52,713.36 and 28,161

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Solution

The fourth proportional to 38,208.60, 52,713.36 and 28,161 is: 38,851.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,208.60 : 52,713.36 = 28,161 : x
  2. Step 2: Convert to fraction form
    38,208.60/52,713.36 = 28,161/x
  3. Step 3: Cross multiply
    38,208.60x = 52,713.36 × 28,161
  4. Step 4: Simplify right side
    38,208.60x = 1,484,460,930.96
  5. Step 5: Solve for x
    x = 1,484,460,930.96/38,208.60
  6. Step 6: Final answer
    x = 38,851.49

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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.