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Finding the Fourth Proportional to 42,201.52, 58,231.26 and 23,335

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Solution

The fourth proportional to 42,201.52, 58,231.26 and 23,335 is: 32,198.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,201.52 : 58,231.26 = 23,335 : x
  2. Step 2: Convert to fraction form
    42,201.52/58,231.26 = 23,335/x
  3. Step 3: Cross multiply
    42,201.52x = 58,231.26 × 23,335
  4. Step 4: Simplify right side
    42,201.52x = 1,358,826,452.10
  5. Step 5: Solve for x
    x = 1,358,826,452.10/42,201.52
  6. Step 6: Final answer
    x = 32,198.52

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