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Finding the Fourth Proportional to 30,532.28, 42,097.68 and 23,728.28

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Solution

The fourth proportional to 30,532.28, 42,097.68 and 23,728.28 is: 32,716.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,532.28 : 42,097.68 = 23,728.28 : x
  2. Step 2: Convert to fraction form
    30,532.28/42,097.68 = 23,728.28/x
  3. Step 3: Cross multiply
    30,532.28x = 42,097.68 × 23,728.28
  4. Step 4: Simplify right side
    30,532.28x = 998,905,538.39
  5. Step 5: Solve for x
    x = 998,905,538.39/30,532.28
  6. Step 6: Final answer
    x = 32,716.38

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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.