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Finding the Fourth Proportional to 57,716.47, 86,573.80 and 47,834.88

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Solution

The fourth proportional to 57,716.47, 86,573.80 and 47,834.88 is: 71,751.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,716.47 : 86,573.80 = 47,834.88 : x
  2. Step 2: Convert to fraction form
    57,716.47/86,573.80 = 47,834.88/x
  3. Step 3: Cross multiply
    57,716.47x = 86,573.80 × 47,834.88
  4. Step 4: Simplify right side
    57,716.47x = 4,141,247,334.14
  5. Step 5: Solve for x
    x = 4,141,247,334.14/57,716.47
  6. Step 6: Final answer
    x = 71,751.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.