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Finding the Fourth Proportional to 252,014.50, 378,029.04 and 65,026

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Solution

The fourth proportional to 252,014.50, 378,029.04 and 65,026 is: 97,540.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,014.50 : 378,029.04 = 65,026 : x
  2. Step 2: Convert to fraction form
    252,014.50/378,029.04 = 65,026/x
  3. Step 3: Cross multiply
    252,014.50x = 378,029.04 × 65,026
  4. Step 4: Simplify right side
    252,014.50x = 24,581,716,355.04
  5. Step 5: Solve for x
    x = 24,581,716,355.04/252,014.50
  6. Step 6: Final answer
    x = 97,540.88

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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.