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Finding the Fourth Proportional to 39,401.84, 54,379.32 and 28,786.16

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Solution

The fourth proportional to 39,401.84, 54,379.32 and 28,786.16 is: 39,728.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,401.84 : 54,379.32 = 28,786.16 : x
  2. Step 2: Convert to fraction form
    39,401.84/54,379.32 = 28,786.16/x
  3. Step 3: Cross multiply
    39,401.84x = 54,379.32 × 28,786.16
  4. Step 4: Simplify right side
    39,401.84x = 1,565,371,806.21
  5. Step 5: Solve for x
    x = 1,565,371,806.21/39,401.84
  6. Step 6: Final answer
    x = 39,728.39

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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.