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Finding the Fourth Proportional to 42,171.72, 58,197.54 and 23,051.88

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Solution

The fourth proportional to 42,171.72, 58,197.54 and 23,051.88 is: 31,811.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,171.72 : 58,197.54 = 23,051.88 : x
  2. Step 2: Convert to fraction form
    42,171.72/58,197.54 = 23,051.88/x
  3. Step 3: Cross multiply
    42,171.72x = 58,197.54 × 23,051.88
  4. Step 4: Simplify right side
    42,171.72x = 1,341,562,708.38
  5. Step 5: Solve for x
    x = 1,341,562,708.38/42,171.72
  6. Step 6: Final answer
    x = 31,811.90

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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.