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Finding the Fourth Proportional to 33,906, 46,773.64 and 29,423.46

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Solution

The fourth proportional to 33,906, 46,773.64 and 29,423.46 is: 40,589.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,906 : 46,773.64 = 29,423.46 : x
  2. Step 2: Convert to fraction form
    33,906/46,773.64 = 29,423.46/x
  3. Step 3: Cross multiply
    33,906x = 46,773.64 × 29,423.46
  4. Step 4: Simplify right side
    33,906x = 1,376,242,325.59
  5. Step 5: Solve for x
    x = 1,376,242,325.59/33,906
  6. Step 6: Final answer
    x = 40,589.93

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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.