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Finding the Fourth Proportional to 36,785.16, 55,172.16 and 13,411.62

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Solution

The fourth proportional to 36,785.16, 55,172.16 and 13,411.62 is: 20,115.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,785.16 : 55,172.16 = 13,411.62 : x
  2. Step 2: Convert to fraction form
    36,785.16/55,172.16 = 13,411.62/x
  3. Step 3: Cross multiply
    36,785.16x = 55,172.16 × 13,411.62
  4. Step 4: Simplify right side
    36,785.16x = 739,948,044.50
  5. Step 5: Solve for x
    x = 739,948,044.50/36,785.16
  6. Step 6: Final answer
    x = 20,115.40

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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.