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Finding the Fourth Proportional to 73,568.80, 110,398.80 and 38,533.60

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Solution

The fourth proportional to 73,568.80, 110,398.80 and 38,533.60 is: 57,824.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,568.80 : 110,398.80 = 38,533.60 : x
  2. Step 2: Convert to fraction form
    73,568.80/110,398.80 = 38,533.60/x
  3. Step 3: Cross multiply
    73,568.80x = 110,398.80 × 38,533.60
  4. Step 4: Simplify right side
    73,568.80x = 4,254,063,199.68
  5. Step 5: Solve for x
    x = 4,254,063,199.68/73,568.80
  6. Step 6: Final answer
    x = 57,824.28

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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.