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Finding the Fourth Proportional to 85,121.41, 117,458.86 and 52,410.63

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Solution

The fourth proportional to 85,121.41, 117,458.86 and 52,410.63 is: 72,321.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,121.41 : 117,458.86 = 52,410.63 : x
  2. Step 2: Convert to fraction form
    85,121.41/117,458.86 = 52,410.63/x
  3. Step 3: Cross multiply
    85,121.41x = 117,458.86 × 52,410.63
  4. Step 4: Simplify right side
    85,121.41x = 6,156,093,079.82
  5. Step 5: Solve for x
    x = 6,156,093,079.82/85,121.41
  6. Step 6: Final answer
    x = 72,321.32

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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.