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Finding the Fourth Proportional to 33,700.64, 50,526 and 16,153.76

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Solution

The fourth proportional to 33,700.64, 50,526 and 16,153.76 is: 24,218.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,700.64 : 50,526 = 16,153.76 : x
  2. Step 2: Convert to fraction form
    33,700.64/50,526 = 16,153.76/x
  3. Step 3: Cross multiply
    33,700.64x = 50,526 × 16,153.76
  4. Step 4: Simplify right side
    33,700.64x = 816,184,877.76
  5. Step 5: Solve for x
    x = 816,184,877.76/33,700.64
  6. Step 6: Final answer
    x = 24,218.68

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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.