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Finding the Fourth Proportional to 37,867.23, 52,254.64 and 20,871.42

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Solution

The fourth proportional to 37,867.23, 52,254.64 and 20,871.42 is: 28,801.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,867.23 : 52,254.64 = 20,871.42 : x
  2. Step 2: Convert to fraction form
    37,867.23/52,254.64 = 20,871.42/x
  3. Step 3: Cross multiply
    37,867.23x = 52,254.64 × 20,871.42
  4. Step 4: Simplify right side
    37,867.23x = 1,090,628,538.39
  5. Step 5: Solve for x
    x = 1,090,628,538.39/37,867.23
  6. Step 6: Final answer
    x = 28,801.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.