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Finding the Fourth Proportional to 71,447.81, 98,597.16 and 41,232.78

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Solution

The fourth proportional to 71,447.81, 98,597.16 and 41,232.78 is: 56,900.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,447.81 : 98,597.16 = 41,232.78 : x
  2. Step 2: Convert to fraction form
    71,447.81/98,597.16 = 41,232.78/x
  3. Step 3: Cross multiply
    71,447.81x = 98,597.16 × 41,232.78
  4. Step 4: Simplify right side
    71,447.81x = 4,065,435,006.90
  5. Step 5: Solve for x
    x = 4,065,435,006.90/71,447.81
  6. Step 6: Final answer
    x = 56,900.77

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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.