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Finding the Fourth Proportional to 41,688.48, 62,539.20 and 13,980

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Solution

The fourth proportional to 41,688.48, 62,539.20 and 13,980 is: 20,972.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,688.48 : 62,539.20 = 13,980 : x
  2. Step 2: Convert to fraction form
    41,688.48/62,539.20 = 13,980/x
  3. Step 3: Cross multiply
    41,688.48x = 62,539.20 × 13,980
  4. Step 4: Simplify right side
    41,688.48x = 874,298,016
  5. Step 5: Solve for x
    x = 874,298,016/41,688.48
  6. Step 6: Final answer
    x = 20,972.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.