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Finding the Fourth Proportional to 36,992.64, 55,496.64 and 12,368

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Solution

The fourth proportional to 36,992.64, 55,496.64 and 12,368 is: 18,554.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,992.64 : 55,496.64 = 12,368 : x
  2. Step 2: Convert to fraction form
    36,992.64/55,496.64 = 12,368/x
  3. Step 3: Cross multiply
    36,992.64x = 55,496.64 × 12,368
  4. Step 4: Simplify right side
    36,992.64x = 686,382,443.52
  5. Step 5: Solve for x
    x = 686,382,443.52/36,992.64
  6. Step 6: Final answer
    x = 18,554.57

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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.