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Finding the Fourth Proportional to 33,705, 46,357.38 and 29,505.96

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Solution

The fourth proportional to 33,705, 46,357.38 and 29,505.96 is: 40,582.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,705 : 46,357.38 = 29,505.96 : x
  2. Step 2: Convert to fraction form
    33,705/46,357.38 = 29,505.96/x
  3. Step 3: Cross multiply
    33,705x = 46,357.38 × 29,505.96
  4. Step 4: Simplify right side
    33,705x = 1,367,818,999.98
  5. Step 5: Solve for x
    x = 1,367,818,999.98/33,705
  6. Step 6: Final answer
    x = 40,582.08

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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.