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Finding the Fourth Proportional to 55,175.40, 82,763.10 and 48,833.10

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Solution

The fourth proportional to 55,175.40, 82,763.10 and 48,833.10 is: 73,249.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,175.40 : 82,763.10 = 48,833.10 : x
  2. Step 2: Convert to fraction form
    55,175.40/82,763.10 = 48,833.10/x
  3. Step 3: Cross multiply
    55,175.40x = 82,763.10 × 48,833.10
  4. Step 4: Simplify right side
    55,175.40x = 4,041,578,738.61
  5. Step 5: Solve for x
    x = 4,041,578,738.61/55,175.40
  6. Step 6: Final answer
    x = 73,249.65

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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.