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Finding the Fourth Proportional to 55,756.80, 76,944.95 and 30,263.38

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Solution

The fourth proportional to 55,756.80, 76,944.95 and 30,263.38 is: 41,763.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,756.80 : 76,944.95 = 30,263.38 : x
  2. Step 2: Convert to fraction form
    55,756.80/76,944.95 = 30,263.38/x
  3. Step 3: Cross multiply
    55,756.80x = 76,944.95 × 30,263.38
  4. Step 4: Simplify right side
    55,756.80x = 2,328,614,260.93
  5. Step 5: Solve for x
    x = 2,328,614,260.93/55,756.80
  6. Step 6: Final answer
    x = 41,763.77

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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.