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Finding the Fourth Proportional to 42,019.38, 57,984.12 and 23,156.64

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Solution

The fourth proportional to 42,019.38, 57,984.12 and 23,156.64 is: 31,954.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,019.38 : 57,984.12 = 23,156.64 : x
  2. Step 2: Convert to fraction form
    42,019.38/57,984.12 = 23,156.64/x
  3. Step 3: Cross multiply
    42,019.38x = 57,984.12 × 23,156.64
  4. Step 4: Simplify right side
    42,019.38x = 1,342,717,392.56
  5. Step 5: Solve for x
    x = 1,342,717,392.56/42,019.38
  6. Step 6: Final answer
    x = 31,954.72

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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.