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Finding the Fourth Proportional to 38,400.84, 53,008.02 and 30,020.04

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Solution

The fourth proportional to 38,400.84, 53,008.02 and 30,020.04 is: 41,439.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,400.84 : 53,008.02 = 30,020.04 : x
  2. Step 2: Convert to fraction form
    38,400.84/53,008.02 = 30,020.04/x
  3. Step 3: Cross multiply
    38,400.84x = 53,008.02 × 30,020.04
  4. Step 4: Simplify right side
    38,400.84x = 1,591,302,880.72
  5. Step 5: Solve for x
    x = 1,591,302,880.72/38,400.84
  6. Step 6: Final answer
    x = 41,439.27

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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.