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Finding the Fourth Proportional to 71,824.72, 107,742.84 and 19,233.76

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Solution

The fourth proportional to 71,824.72, 107,742.84 and 19,233.76 is: 28,852.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,824.72 : 107,742.84 = 19,233.76 : x
  2. Step 2: Convert to fraction form
    71,824.72/107,742.84 = 19,233.76/x
  3. Step 3: Cross multiply
    71,824.72x = 107,742.84 × 19,233.76
  4. Step 4: Simplify right side
    71,824.72x = 2,072,299,926.28
  5. Step 5: Solve for x
    x = 2,072,299,926.28/71,824.72
  6. Step 6: Final answer
    x = 28,852.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.