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Finding the Fourth Proportional to 55,930.38, 77,183.94 and 30,779.88

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Solution

The fourth proportional to 55,930.38, 77,183.94 and 30,779.88 is: 42,476.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,930.38 : 77,183.94 = 30,779.88 : x
  2. Step 2: Convert to fraction form
    55,930.38/77,183.94 = 30,779.88/x
  3. Step 3: Cross multiply
    55,930.38x = 77,183.94 × 30,779.88
  4. Step 4: Simplify right side
    55,930.38x = 2,375,712,411.13
  5. Step 5: Solve for x
    x = 2,375,712,411.13/55,930.38
  6. Step 6: Final answer
    x = 42,476.24

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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.