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Finding the Fourth Proportional to 80,577.92, 111,196.80 and 44,768

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Solution

The fourth proportional to 80,577.92, 111,196.80 and 44,768 is: 61,779.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,577.92 : 111,196.80 = 44,768 : x
  2. Step 2: Convert to fraction form
    80,577.92/111,196.80 = 44,768/x
  3. Step 3: Cross multiply
    80,577.92x = 111,196.80 × 44,768
  4. Step 4: Simplify right side
    80,577.92x = 4,978,058,342.40
  5. Step 5: Solve for x
    x = 4,978,058,342.40/80,577.92
  6. Step 6: Final answer
    x = 61,779.43

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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.