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Finding the Fourth Proportional to 57,137.47, 85,716.15 and 23,880.89

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Solution

The fourth proportional to 57,137.47, 85,716.15 and 23,880.89 is: 35,825.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,137.47 : 85,716.15 = 23,880.89 : x
  2. Step 2: Convert to fraction form
    57,137.47/85,716.15 = 23,880.89/x
  3. Step 3: Cross multiply
    57,137.47x = 85,716.15 × 23,880.89
  4. Step 4: Simplify right side
    57,137.47x = 2,046,978,074.11
  5. Step 5: Solve for x
    x = 2,046,978,074.11/57,137.47
  6. Step 6: Final answer
    x = 35,825.50

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Why These Related Problems?

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