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Finding the Fourth Proportional to 36,536.84, 54,785.52 and 12,838.28

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Solution

The fourth proportional to 36,536.84, 54,785.52 and 12,838.28 is: 19,250.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,536.84 : 54,785.52 = 12,838.28 : x
  2. Step 2: Convert to fraction form
    36,536.84/54,785.52 = 12,838.28/x
  3. Step 3: Cross multiply
    36,536.84x = 54,785.52 × 12,838.28
  4. Step 4: Simplify right side
    36,536.84x = 703,351,845.71
  5. Step 5: Solve for x
    x = 703,351,845.71/36,536.84
  6. Step 6: Final answer
    x = 19,250.48

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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.