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Finding the Fourth Proportional to 85,193.64, 117,566.64 and 47,468.16

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Solution

The fourth proportional to 85,193.64, 117,566.64 and 47,468.16 is: 65,505.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,193.64 : 117,566.64 = 47,468.16 : x
  2. Step 2: Convert to fraction form
    85,193.64/117,566.64 = 47,468.16/x
  3. Step 3: Cross multiply
    85,193.64x = 117,566.64 × 47,468.16
  4. Step 4: Simplify right side
    85,193.64x = 5,580,672,078.18
  5. Step 5: Solve for x
    x = 5,580,672,078.18/85,193.64
  6. Step 6: Final answer
    x = 65,505.74

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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.