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Finding the Fourth Proportional to 73,302.27, 101,157.57 and 41,477.82

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Solution

The fourth proportional to 73,302.27, 101,157.57 and 41,477.82 is: 57,239.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,302.27 : 101,157.57 = 41,477.82 : x
  2. Step 2: Convert to fraction form
    73,302.27/101,157.57 = 41,477.82/x
  3. Step 3: Cross multiply
    73,302.27x = 101,157.57 × 41,477.82
  4. Step 4: Simplify right side
    73,302.27x = 4,195,795,480.10
  5. Step 5: Solve for x
    x = 4,195,795,480.10/73,302.27
  6. Step 6: Final answer
    x = 57,239.64

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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.