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Finding the Fourth Proportional to 48,065.68, 72,029.40 and 27,245.20

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Solution

The fourth proportional to 48,065.68, 72,029.40 and 27,245.20 is: 40,828.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,065.68 : 72,029.40 = 27,245.20 : x
  2. Step 2: Convert to fraction form
    48,065.68/72,029.40 = 27,245.20/x
  3. Step 3: Cross multiply
    48,065.68x = 72,029.40 × 27,245.20
  4. Step 4: Simplify right side
    48,065.68x = 1,962,455,408.88
  5. Step 5: Solve for x
    x = 1,962,455,408.88/48,065.68
  6. Step 6: Final answer
    x = 40,828.62

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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.