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Finding the Fourth Proportional to 52,114.59, 71,880.16 and 32,997.48

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Solution

The fourth proportional to 52,114.59, 71,880.16 and 32,997.48 is: 45,512.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,114.59 : 71,880.16 = 32,997.48 : x
  2. Step 2: Convert to fraction form
    52,114.59/71,880.16 = 32,997.48/x
  3. Step 3: Cross multiply
    52,114.59x = 71,880.16 × 32,997.48
  4. Step 4: Simplify right side
    52,114.59x = 2,371,863,851.82
  5. Step 5: Solve for x
    x = 2,371,863,851.82/52,114.59
  6. Step 6: Final answer
    x = 45,512.47

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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.