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Finding the Fourth Proportional to 85,157.94, 117,516.42 and 47,431.38

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Solution

The fourth proportional to 85,157.94, 117,516.42 and 47,431.38 is: 65,454.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,157.94 : 117,516.42 = 47,431.38 : x
  2. Step 2: Convert to fraction form
    85,157.94/117,516.42 = 47,431.38/x
  3. Step 3: Cross multiply
    85,157.94x = 117,516.42 × 47,431.38
  4. Step 4: Simplify right side
    85,157.94x = 5,573,965,973.26
  5. Step 5: Solve for x
    x = 5,573,965,973.26/85,157.94
  6. Step 6: Final answer
    x = 65,454.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.