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Finding the Fourth Proportional to 48,209.56, 66,517.74 and 28,054.24

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Solution

The fourth proportional to 48,209.56, 66,517.74 and 28,054.24 is: 38,708.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,209.56 : 66,517.74 = 28,054.24 : x
  2. Step 2: Convert to fraction form
    48,209.56/66,517.74 = 28,054.24/x
  3. Step 3: Cross multiply
    48,209.56x = 66,517.74 × 28,054.24
  4. Step 4: Simplify right side
    48,209.56x = 1,866,104,642.22
  5. Step 5: Solve for x
    x = 1,866,104,642.22/48,209.56
  6. Step 6: Final answer
    x = 38,708.19

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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.