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Finding the Fourth Proportional to 71,475.94, 98,593.89 and 47,277.46

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Solution

The fourth proportional to 71,475.94, 98,593.89 and 47,277.46 is: 65,214.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,475.94 : 98,593.89 = 47,277.46 : x
  2. Step 2: Convert to fraction form
    71,475.94/98,593.89 = 47,277.46/x
  3. Step 3: Cross multiply
    71,475.94x = 98,593.89 × 47,277.46
  4. Step 4: Simplify right side
    71,475.94x = 4,661,268,197.75
  5. Step 5: Solve for x
    x = 4,661,268,197.75/71,475.94
  6. Step 6: Final answer
    x = 65,214.51

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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.