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Finding the Fourth Proportional to 51,064.57, 70,469.10 and 28,708.57

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Solution

The fourth proportional to 51,064.57, 70,469.10 and 28,708.57 is: 39,617.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,064.57 : 70,469.10 = 28,708.57 : x
  2. Step 2: Convert to fraction form
    51,064.57/70,469.10 = 28,708.57/x
  3. Step 3: Cross multiply
    51,064.57x = 70,469.10 × 28,708.57
  4. Step 4: Simplify right side
    51,064.57x = 2,023,067,090.19
  5. Step 5: Solve for x
    x = 2,023,067,090.19/51,064.57
  6. Step 6: Final answer
    x = 39,617.82

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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.