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Finding the Fourth Proportional to 42,440.92, 58,570.23 and 23,578

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Solution

The fourth proportional to 42,440.92, 58,570.23 and 23,578 is: 32,538.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,440.92 : 58,570.23 = 23,578 : x
  2. Step 2: Convert to fraction form
    42,440.92/58,570.23 = 23,578/x
  3. Step 3: Cross multiply
    42,440.92x = 58,570.23 × 23,578
  4. Step 4: Simplify right side
    42,440.92x = 1,380,968,882.94
  5. Step 5: Solve for x
    x = 1,380,968,882.94/42,440.92
  6. Step 6: Final answer
    x = 32,538.62

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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.