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Finding the Fourth Proportional to 71,193.29, 98,155.44 and 45,653.22

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Solution

The fourth proportional to 71,193.29, 98,155.44 and 45,653.22 is: 62,942.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,193.29 : 98,155.44 = 45,653.22 : x
  2. Step 2: Convert to fraction form
    71,193.29/98,155.44 = 45,653.22/x
  3. Step 3: Cross multiply
    71,193.29x = 98,155.44 × 45,653.22
  4. Step 4: Simplify right side
    71,193.29x = 4,481,111,896.52
  5. Step 5: Solve for x
    x = 4,481,111,896.52/71,193.29
  6. Step 6: Final answer
    x = 62,942.90

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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.