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Finding the Fourth Proportional to 42,024.38, 57,992.88 and 22,904.32

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Solution

The fourth proportional to 42,024.38, 57,992.88 and 22,904.32 is: 31,607.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,024.38 : 57,992.88 = 22,904.32 : x
  2. Step 2: Convert to fraction form
    42,024.38/57,992.88 = 22,904.32/x
  3. Step 3: Cross multiply
    42,024.38x = 57,992.88 × 22,904.32
  4. Step 4: Simplify right side
    42,024.38x = 1,328,287,481.24
  5. Step 5: Solve for x
    x = 1,328,287,481.24/42,024.38
  6. Step 6: Final answer
    x = 31,607.54

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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.