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Finding the Fourth Proportional to 55,492.75, 76,580 and 30,342.25

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Solution

The fourth proportional to 55,492.75, 76,580 and 30,342.25 is: 41,872.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,492.75 : 76,580 = 30,342.25 : x
  2. Step 2: Convert to fraction form
    55,492.75/76,580 = 30,342.25/x
  3. Step 3: Cross multiply
    55,492.75x = 76,580 × 30,342.25
  4. Step 4: Simplify right side
    55,492.75x = 2,323,609,505
  5. Step 5: Solve for x
    x = 2,323,609,505/55,492.75
  6. Step 6: Final answer
    x = 41,872.31

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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.