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Finding the Fourth Proportional to 47,604.66, 65,684.97 and 28,742.82

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Solution

The fourth proportional to 47,604.66, 65,684.97 and 28,742.82 is: 39,659.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,604.66 : 65,684.97 = 28,742.82 : x
  2. Step 2: Convert to fraction form
    47,604.66/65,684.97 = 28,742.82/x
  3. Step 3: Cross multiply
    47,604.66x = 65,684.97 × 28,742.82
  4. Step 4: Simplify right side
    47,604.66x = 1,887,971,269.42
  5. Step 5: Solve for x
    x = 1,887,971,269.42/47,604.66
  6. Step 6: Final answer
    x = 39,659.38

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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.