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Finding the Fourth Proportional to 55,492.68, 76,580.24 and 30,342.20

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Solution

The fourth proportional to 55,492.68, 76,580.24 and 30,342.20 is: 41,872.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,492.68 : 76,580.24 = 30,342.20 : x
  2. Step 2: Convert to fraction form
    55,492.68/76,580.24 = 30,342.20/x
  3. Step 3: Cross multiply
    55,492.68x = 76,580.24 × 30,342.20
  4. Step 4: Simplify right side
    55,492.68x = 2,323,612,958.13
  5. Step 5: Solve for x
    x = 2,323,612,958.13/55,492.68
  6. Step 6: Final answer
    x = 41,872.42

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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.