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Finding the Fourth Proportional to 38,536.08, 53,180.76 and 21,769.08

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Solution

The fourth proportional to 38,536.08, 53,180.76 and 21,769.08 is: 30,041.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,536.08 : 53,180.76 = 21,769.08 : x
  2. Step 2: Convert to fraction form
    38,536.08/53,180.76 = 21,769.08/x
  3. Step 3: Cross multiply
    38,536.08x = 53,180.76 × 21,769.08
  4. Step 4: Simplify right side
    38,536.08x = 1,157,696,218.90
  5. Step 5: Solve for x
    x = 1,157,696,218.90/38,536.08
  6. Step 6: Final answer
    x = 30,041.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.