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Finding the Fourth Proportional to 71,782.56, 99,063.18 and 41,569.20

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Solution

The fourth proportional to 71,782.56, 99,063.18 and 41,569.20 is: 57,367.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,782.56 : 99,063.18 = 41,569.20 : x
  2. Step 2: Convert to fraction form
    71,782.56/99,063.18 = 41,569.20/x
  3. Step 3: Cross multiply
    71,782.56x = 99,063.18 × 41,569.20
  4. Step 4: Simplify right side
    71,782.56x = 4,117,977,142.06
  5. Step 5: Solve for x
    x = 4,117,977,142.06/71,782.56
  6. Step 6: Final answer
    x = 57,367.38

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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.