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Finding the Fourth Proportional to 71,655.99, 98,887.31 and 41,438.43

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Solution

The fourth proportional to 71,655.99, 98,887.31 and 41,438.43 is: 57,186.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,655.99 : 98,887.31 = 41,438.43 : x
  2. Step 2: Convert to fraction form
    71,655.99/98,887.31 = 41,438.43/x
  3. Step 3: Cross multiply
    71,655.99x = 98,887.31 × 41,438.43
  4. Step 4: Simplify right side
    71,655.99x = 4,097,734,666.13
  5. Step 5: Solve for x
    x = 4,097,734,666.13/71,655.99
  6. Step 6: Final answer
    x = 57,186.21

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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.