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Finding the Fourth Proportional to 48,546.40, 72,646.80 and 33,685.60

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Solution

The fourth proportional to 48,546.40, 72,646.80 and 33,685.60 is: 50,408.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,546.40 : 72,646.80 = 33,685.60 : x
  2. Step 2: Convert to fraction form
    48,546.40/72,646.80 = 33,685.60/x
  3. Step 3: Cross multiply
    48,546.40x = 72,646.80 × 33,685.60
  4. Step 4: Simplify right side
    48,546.40x = 2,447,151,046.08
  5. Step 5: Solve for x
    x = 2,447,151,046.08/48,546.40
  6. Step 6: Final answer
    x = 50,408.50

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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.