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Finding the Fourth Proportional to 85,322.12, 117,750.24 and 49,512

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Solution

The fourth proportional to 85,322.12, 117,750.24 and 49,512 is: 68,329.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,322.12 : 117,750.24 = 49,512 : x
  2. Step 2: Convert to fraction form
    85,322.12/117,750.24 = 49,512/x
  3. Step 3: Cross multiply
    85,322.12x = 117,750.24 × 49,512
  4. Step 4: Simplify right side
    85,322.12x = 5,830,049,882.88
  5. Step 5: Solve for x
    x = 5,830,049,882.88/85,322.12
  6. Step 6: Final answer
    x = 68,329.88

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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.