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Finding the Fourth Proportional to 32,880.64, 45,376 and 17,976.32

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Solution

The fourth proportional to 32,880.64, 45,376 and 17,976.32 is: 24,807.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,880.64 : 45,376 = 17,976.32 : x
  2. Step 2: Convert to fraction form
    32,880.64/45,376 = 17,976.32/x
  3. Step 3: Cross multiply
    32,880.64x = 45,376 × 17,976.32
  4. Step 4: Simplify right side
    32,880.64x = 815,693,496.32
  5. Step 5: Solve for x
    x = 815,693,496.32/32,880.64
  6. Step 6: Final answer
    x = 24,807.71

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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.