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Finding the Fourth Proportional to 42,225, 58,270.56 and 23,363.40

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Solution

The fourth proportional to 42,225, 58,270.56 and 23,363.40 is: 32,241.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,225 : 58,270.56 = 23,363.40 : x
  2. Step 2: Convert to fraction form
    42,225/58,270.56 = 23,363.40/x
  3. Step 3: Cross multiply
    42,225x = 58,270.56 × 23,363.40
  4. Step 4: Simplify right side
    42,225x = 1,361,398,401.50
  5. Step 5: Solve for x
    x = 1,361,398,401.50/42,225
  6. Step 6: Final answer
    x = 32,241.53

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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.