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Finding the Fourth Proportional to 37,805.28, 52,164.88 and 21,886.96

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Solution

The fourth proportional to 37,805.28, 52,164.88 and 21,886.96 is: 30,200.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,805.28 : 52,164.88 = 21,886.96 : x
  2. Step 2: Convert to fraction form
    37,805.28/52,164.88 = 21,886.96/x
  3. Step 3: Cross multiply
    37,805.28x = 52,164.88 × 21,886.96
  4. Step 4: Simplify right side
    37,805.28x = 1,141,730,641.96
  5. Step 5: Solve for x
    x = 1,141,730,641.96/37,805.28
  6. Step 6: Final answer
    x = 30,200.30

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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.