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Finding the Fourth Proportional to 51,214.40, 76,821.60 and 33,718.40

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Solution

The fourth proportional to 51,214.40, 76,821.60 and 33,718.40 is: 50,577.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,214.40 : 76,821.60 = 33,718.40 : x
  2. Step 2: Convert to fraction form
    51,214.40/76,821.60 = 33,718.40/x
  3. Step 3: Cross multiply
    51,214.40x = 76,821.60 × 33,718.40
  4. Step 4: Simplify right side
    51,214.40x = 2,590,301,437.44
  5. Step 5: Solve for x
    x = 2,590,301,437.44/51,214.40
  6. Step 6: Final answer
    x = 50,577.60

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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.