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Finding the Fourth Proportional to 29,683.16, 40,956 and 17,744.48

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Solution

The fourth proportional to 29,683.16, 40,956 and 17,744.48 is: 24,483.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,683.16 : 40,956 = 17,744.48 : x
  2. Step 2: Convert to fraction form
    29,683.16/40,956 = 17,744.48/x
  3. Step 3: Cross multiply
    29,683.16x = 40,956 × 17,744.48
  4. Step 4: Simplify right side
    29,683.16x = 726,742,922.88
  5. Step 5: Solve for x
    x = 726,742,922.88/29,683.16
  6. Step 6: Final answer
    x = 24,483.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.