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Finding the Fourth Proportional to 57,568.40, 86,374.20 and 22,533.20

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Solution

The fourth proportional to 57,568.40, 86,374.20 and 22,533.20 is: 33,808.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,568.40 : 86,374.20 = 22,533.20 : x
  2. Step 2: Convert to fraction form
    57,568.40/86,374.20 = 22,533.20/x
  3. Step 3: Cross multiply
    57,568.40x = 86,374.20 × 22,533.20
  4. Step 4: Simplify right side
    57,568.40x = 1,946,287,123.44
  5. Step 5: Solve for x
    x = 1,946,287,123.44/57,568.40
  6. Step 6: Final answer
    x = 33,808.25

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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.