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Finding the Fourth Proportional to 55,782.68, 76,982.82 and 30,632.72

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Solution

The fourth proportional to 55,782.68, 76,982.82 and 30,632.72 is: 42,274.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,782.68 : 76,982.82 = 30,632.72 : x
  2. Step 2: Convert to fraction form
    55,782.68/76,982.82 = 30,632.72/x
  3. Step 3: Cross multiply
    55,782.68x = 76,982.82 × 30,632.72
  4. Step 4: Simplify right side
    55,782.68x = 2,358,193,169.87
  5. Step 5: Solve for x
    x = 2,358,193,169.87/55,782.68
  6. Step 6: Final answer
    x = 42,274.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.