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Finding the Fourth Proportional to 33,409.24, 45,999.84 and 28,363

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Solution

The fourth proportional to 33,409.24, 45,999.84 and 28,363 is: 39,051.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,409.24 : 45,999.84 = 28,363 : x
  2. Step 2: Convert to fraction form
    33,409.24/45,999.84 = 28,363/x
  3. Step 3: Cross multiply
    33,409.24x = 45,999.84 × 28,363
  4. Step 4: Simplify right side
    33,409.24x = 1,304,693,461.92
  5. Step 5: Solve for x
    x = 1,304,693,461.92/33,409.24
  6. Step 6: Final answer
    x = 39,051.87

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