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Finding the Fourth Proportional to 38,024, 57,059.76 and 18,304.64

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Solution

The fourth proportional to 38,024, 57,059.76 and 18,304.64 is: 27,468.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,024 : 57,059.76 = 18,304.64 : x
  2. Step 2: Convert to fraction form
    38,024/57,059.76 = 18,304.64/x
  3. Step 3: Cross multiply
    38,024x = 57,059.76 × 18,304.64
  4. Step 4: Simplify right side
    38,024x = 1,044,458,365.29
  5. Step 5: Solve for x
    x = 1,044,458,365.29/38,024
  6. Step 6: Final answer
    x = 27,468.40

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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.