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Finding the Fourth Proportional to 30,953.64, 42,715.24 and 17,524.80

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Solution

The fourth proportional to 30,953.64, 42,715.24 and 17,524.80 is: 24,183.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,953.64 : 42,715.24 = 17,524.80 : x
  2. Step 2: Convert to fraction form
    30,953.64/42,715.24 = 17,524.80/x
  3. Step 3: Cross multiply
    30,953.64x = 42,715.24 × 17,524.80
  4. Step 4: Simplify right side
    30,953.64x = 748,576,037.95
  5. Step 5: Solve for x
    x = 748,576,037.95/30,953.64
  6. Step 6: Final answer
    x = 24,183.78

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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.