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Finding the Fourth Proportional to 56,142, 77,529.42 and 44,183.97

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Solution

The fourth proportional to 56,142, 77,529.42 and 44,183.97 is: 61,015.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,142 : 77,529.42 = 44,183.97 : x
  2. Step 2: Convert to fraction form
    56,142/77,529.42 = 44,183.97/x
  3. Step 3: Cross multiply
    56,142x = 77,529.42 × 44,183.97
  4. Step 4: Simplify right side
    56,142x = 3,425,557,567.40
  5. Step 5: Solve for x
    x = 3,425,557,567.40/56,142
  6. Step 6: Final answer
    x = 61,015.95

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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.