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Finding the Fourth Proportional to 42,380.50, 58,486.91 and 23,517.63

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Solution

The fourth proportional to 42,380.50, 58,486.91 and 23,517.63 is: 32,455.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,380.50 : 58,486.91 = 23,517.63 : x
  2. Step 2: Convert to fraction form
    42,380.50/58,486.91 = 23,517.63/x
  3. Step 3: Cross multiply
    42,380.50x = 58,486.91 × 23,517.63
  4. Step 4: Simplify right side
    42,380.50x = 1,375,473,509.22
  5. Step 5: Solve for x
    x = 1,375,473,509.22/42,380.50
  6. Step 6: Final answer
    x = 32,455.34

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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.