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Finding the Fourth Proportional to 51,465, 71,023.62 and 29,108.52

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Solution

The fourth proportional to 51,465, 71,023.62 and 29,108.52 is: 40,170.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,465 : 71,023.62 = 29,108.52 : x
  2. Step 2: Convert to fraction form
    51,465/71,023.62 = 29,108.52/x
  3. Step 3: Cross multiply
    51,465x = 71,023.62 × 29,108.52
  4. Step 4: Simplify right side
    51,465x = 2,067,392,463.24
  5. Step 5: Solve for x
    x = 2,067,392,463.24/51,465
  6. Step 6: Final answer
    x = 40,170.84

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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.