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Finding the Fourth Proportional to 48,566.40, 72,676.80 and 33,705.60

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Solution

The fourth proportional to 48,566.40, 72,676.80 and 33,705.60 is: 50,438.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,566.40 : 72,676.80 = 33,705.60 : x
  2. Step 2: Convert to fraction form
    48,566.40/72,676.80 = 33,705.60/x
  3. Step 3: Cross multiply
    48,566.40x = 72,676.80 × 33,705.60
  4. Step 4: Simplify right side
    48,566.40x = 2,449,615,150.08
  5. Step 5: Solve for x
    x = 2,449,615,150.08/48,566.40
  6. Step 6: Final answer
    x = 50,438.47

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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.