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Finding the Fourth Proportional to 33,973.60, 50,974.80 and 16,434.40

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Solution

The fourth proportional to 33,973.60, 50,974.80 and 16,434.40 is: 24,658.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,973.60 : 50,974.80 = 16,434.40 : x
  2. Step 2: Convert to fraction form
    33,973.60/50,974.80 = 16,434.40/x
  3. Step 3: Cross multiply
    33,973.60x = 50,974.80 × 16,434.40
  4. Step 4: Simplify right side
    33,973.60x = 837,740,253.12
  5. Step 5: Solve for x
    x = 837,740,253.12/33,973.60
  6. Step 6: Final answer
    x = 24,658.57

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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.