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Finding the Fourth Proportional to 68,813.38, 103,215.68 and 24,434.28

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Solution

The fourth proportional to 68,813.38, 103,215.68 and 24,434.28 is: 36,649.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,813.38 : 103,215.68 = 24,434.28 : x
  2. Step 2: Convert to fraction form
    68,813.38/103,215.68 = 24,434.28/x
  3. Step 3: Cross multiply
    68,813.38x = 103,215.68 × 24,434.28
  4. Step 4: Simplify right side
    68,813.38x = 2,522,000,825.51
  5. Step 5: Solve for x
    x = 2,522,000,825.51/68,813.38
  6. Step 6: Final answer
    x = 36,649.86

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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.