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Finding the Fourth Proportional to 32,704.84, 45,138.90 and 18,559

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Solution

The fourth proportional to 32,704.84, 45,138.90 and 18,559 is: 25,614.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,704.84 : 45,138.90 = 18,559 : x
  2. Step 2: Convert to fraction form
    32,704.84/45,138.90 = 18,559/x
  3. Step 3: Cross multiply
    32,704.84x = 45,138.90 × 18,559
  4. Step 4: Simplify right side
    32,704.84x = 837,732,845.10
  5. Step 5: Solve for x
    x = 837,732,845.10/32,704.84
  6. Step 6: Final answer
    x = 25,614.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.