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Finding the Fourth Proportional to 33,656.40, 46,395.12 and 27,677.70

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Solution

The fourth proportional to 33,656.40, 46,395.12 and 27,677.70 is: 38,153.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,656.40 : 46,395.12 = 27,677.70 : x
  2. Step 2: Convert to fraction form
    33,656.40/46,395.12 = 27,677.70/x
  3. Step 3: Cross multiply
    33,656.40x = 46,395.12 × 27,677.70
  4. Step 4: Simplify right side
    33,656.40x = 1,284,110,212.82
  5. Step 5: Solve for x
    x = 1,284,110,212.82/33,656.40
  6. Step 6: Final answer
    x = 38,153.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.