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Finding the Fourth Proportional to 48,826.40, 73,268.40 and 17,657.60

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Solution

The fourth proportional to 48,826.40, 73,268.40 and 17,657.60 is: 26,496.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,826.40 : 73,268.40 = 17,657.60 : x
  2. Step 2: Convert to fraction form
    48,826.40/73,268.40 = 17,657.60/x
  3. Step 3: Cross multiply
    48,826.40x = 73,268.40 × 17,657.60
  4. Step 4: Simplify right side
    48,826.40x = 1,293,744,099.84
  5. Step 5: Solve for x
    x = 1,293,744,099.84/48,826.40
  6. Step 6: Final answer
    x = 26,496.82

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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.