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Finding the Fourth Proportional to 32,836, 45,313.92 and 17,932

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Solution

The fourth proportional to 32,836, 45,313.92 and 17,932 is: 24,746.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,836 : 45,313.92 = 17,932 : x
  2. Step 2: Convert to fraction form
    32,836/45,313.92 = 17,932/x
  3. Step 3: Cross multiply
    32,836x = 45,313.92 × 17,932
  4. Step 4: Simplify right side
    32,836x = 812,569,213.44
  5. Step 5: Solve for x
    x = 812,569,213.44/32,836
  6. Step 6: Final answer
    x = 24,746.29

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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.