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Finding the Fourth Proportional to 30,516.48, 42,101.28 and 18,576

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Solution

The fourth proportional to 30,516.48, 42,101.28 and 18,576 is: 25,627.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,516.48 : 42,101.28 = 18,576 : x
  2. Step 2: Convert to fraction form
    30,516.48/42,101.28 = 18,576/x
  3. Step 3: Cross multiply
    30,516.48x = 42,101.28 × 18,576
  4. Step 4: Simplify right side
    30,516.48x = 782,073,377.28
  5. Step 5: Solve for x
    x = 782,073,377.28/30,516.48
  6. Step 6: Final answer
    x = 25,627.90

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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.