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Finding the Fourth Proportional to 49,779.44, 74,649.72 and 22,058

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Solution

The fourth proportional to 49,779.44, 74,649.72 and 22,058 is: 33,078.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,779.44 : 74,649.72 = 22,058 : x
  2. Step 2: Convert to fraction form
    49,779.44/74,649.72 = 22,058/x
  3. Step 3: Cross multiply
    49,779.44x = 74,649.72 × 22,058
  4. Step 4: Simplify right side
    49,779.44x = 1,646,623,523.76
  5. Step 5: Solve for x
    x = 1,646,623,523.76/49,779.44
  6. Step 6: Final answer
    x = 33,078.39

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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.