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Finding the Fourth Proportional to 49,886.78, 74,842.63 and 14,826.44

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Solution

The fourth proportional to 49,886.78, 74,842.63 and 14,826.44 is: 22,243.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,886.78 : 74,842.63 = 14,826.44 : x
  2. Step 2: Convert to fraction form
    49,886.78/74,842.63 = 14,826.44/x
  3. Step 3: Cross multiply
    49,886.78x = 74,842.63 × 14,826.44
  4. Step 4: Simplify right side
    49,886.78x = 1,109,649,763.14
  5. Step 5: Solve for x
    x = 1,109,649,763.14/49,886.78
  6. Step 6: Final answer
    x = 22,243.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.