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Finding the Fourth Proportional to 42,403, 58,513.17 and 23,538.64

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Solution

The fourth proportional to 42,403, 58,513.17 and 23,538.64 is: 32,481.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,403 : 58,513.17 = 23,538.64 : x
  2. Step 2: Convert to fraction form
    42,403/58,513.17 = 23,538.64/x
  3. Step 3: Cross multiply
    42,403x = 58,513.17 × 23,538.64
  4. Step 4: Simplify right side
    42,403x = 1,377,320,443.89
  5. Step 5: Solve for x
    x = 1,377,320,443.89/42,403
  6. Step 6: Final answer
    x = 32,481.67

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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.