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Finding the Fourth Proportional to 32,640, 45,043.22 and 17,736

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Solution

The fourth proportional to 32,640, 45,043.22 and 17,736 is: 24,475.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,640 : 45,043.22 = 17,736 : x
  2. Step 2: Convert to fraction form
    32,640/45,043.22 = 17,736/x
  3. Step 3: Cross multiply
    32,640x = 45,043.22 × 17,736
  4. Step 4: Simplify right side
    32,640x = 798,886,549.92
  5. Step 5: Solve for x
    x = 798,886,549.92/32,640
  6. Step 6: Final answer
    x = 24,475.69

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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.