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Finding the Fourth Proportional to 55,635, 76,776.30 and 30,483.96

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Solution

The fourth proportional to 55,635, 76,776.30 and 30,483.96 is: 42,067.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,635 : 76,776.30 = 30,483.96 : x
  2. Step 2: Convert to fraction form
    55,635/76,776.30 = 30,483.96/x
  3. Step 3: Cross multiply
    55,635x = 76,776.30 × 30,483.96
  4. Step 4: Simplify right side
    55,635x = 2,340,445,658.15
  5. Step 5: Solve for x
    x = 2,340,445,658.15/55,635
  6. Step 6: Final answer
    x = 42,067.86

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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.