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Finding the Fourth Proportional to 49,400.83, 68,166.79 and 28,178.83

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Solution

The fourth proportional to 49,400.83, 68,166.79 and 28,178.83 is: 38,883.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,400.83 : 68,166.79 = 28,178.83 : x
  2. Step 2: Convert to fraction form
    49,400.83/68,166.79 = 28,178.83/x
  3. Step 3: Cross multiply
    49,400.83x = 68,166.79 × 28,178.83
  4. Step 4: Simplify right side
    49,400.83x = 1,920,860,387.06
  5. Step 5: Solve for x
    x = 1,920,860,387.06/49,400.83
  6. Step 6: Final answer
    x = 38,883.16

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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.