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Finding the Fourth Proportional to 34,737.76, 52,122.36 and 13,672

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Solution

The fourth proportional to 34,737.76, 52,122.36 and 13,672 is: 20,514.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,737.76 : 52,122.36 = 13,672 : x
  2. Step 2: Convert to fraction form
    34,737.76/52,122.36 = 13,672/x
  3. Step 3: Cross multiply
    34,737.76x = 52,122.36 × 13,672
  4. Step 4: Simplify right side
    34,737.76x = 712,616,905.92
  5. Step 5: Solve for x
    x = 712,616,905.92/34,737.76
  6. Step 6: Final answer
    x = 20,514.19

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Why These Related Problems?

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