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Finding the Fourth Proportional to 51,674.40, 77,524.80 and 16,614.40

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Solution

The fourth proportional to 51,674.40, 77,524.80 and 16,614.40 is: 24,925.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,674.40 : 77,524.80 = 16,614.40 : x
  2. Step 2: Convert to fraction form
    51,674.40/77,524.80 = 16,614.40/x
  3. Step 3: Cross multiply
    51,674.40x = 77,524.80 × 16,614.40
  4. Step 4: Simplify right side
    51,674.40x = 1,288,028,037.12
  5. Step 5: Solve for x
    x = 1,288,028,037.12/51,674.40
  6. Step 6: Final answer
    x = 24,925.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.