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Finding the Fourth Proportional to 32,728.25, 45,164.99 and 17,824.25

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Solution

The fourth proportional to 32,728.25, 45,164.99 and 17,824.25 is: 24,597.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,728.25 : 45,164.99 = 17,824.25 : x
  2. Step 2: Convert to fraction form
    32,728.25/45,164.99 = 17,824.25/x
  3. Step 3: Cross multiply
    32,728.25x = 45,164.99 × 17,824.25
  4. Step 4: Simplify right side
    32,728.25x = 805,032,073.01
  5. Step 5: Solve for x
    x = 805,032,073.01/32,728.25
  6. Step 6: Final answer
    x = 24,597.47

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Similar ratio
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1.5x scale

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.