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Finding the Fourth Proportional to 48,205.04, 66,523.66 and 27,775.84

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Solution

The fourth proportional to 48,205.04, 66,523.66 and 27,775.84 is: 38,331.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,205.04 : 66,523.66 = 27,775.84 : x
  2. Step 2: Convert to fraction form
    48,205.04/66,523.66 = 27,775.84/x
  3. Step 3: Cross multiply
    48,205.04x = 66,523.66 × 27,775.84
  4. Step 4: Simplify right side
    48,205.04x = 1,847,750,536.37
  5. Step 5: Solve for x
    x = 1,847,750,536.37/48,205.04
  6. Step 6: Final answer
    x = 38,331.07

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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.