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Finding the Fourth Proportional to 31,119.14, 42,944 and 16,971.68

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Solution

The fourth proportional to 31,119.14, 42,944 and 16,971.68 is: 23,420.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,119.14 : 42,944 = 16,971.68 : x
  2. Step 2: Convert to fraction form
    31,119.14/42,944 = 16,971.68/x
  3. Step 3: Cross multiply
    31,119.14x = 42,944 × 16,971.68
  4. Step 4: Simplify right side
    31,119.14x = 728,831,825.92
  5. Step 5: Solve for x
    x = 728,831,825.92/31,119.14
  6. Step 6: Final answer
    x = 23,420.69

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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.