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Finding the Fourth Proportional to 55,782.38, 76,980.60 and 30,288.74

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Solution

The fourth proportional to 55,782.38, 76,980.60 and 30,288.74 is: 41,798.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,782.38 : 76,980.60 = 30,288.74 : x
  2. Step 2: Convert to fraction form
    55,782.38/76,980.60 = 30,288.74/x
  3. Step 3: Cross multiply
    55,782.38x = 76,980.60 × 30,288.74
  4. Step 4: Simplify right side
    55,782.38x = 2,331,645,378.44
  5. Step 5: Solve for x
    x = 2,331,645,378.44/55,782.38
  6. Step 6: Final answer
    x = 41,798.96

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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.