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Finding the Fourth Proportional to 55,686.32, 76,851 and 30,537.44

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Solution

The fourth proportional to 55,686.32, 76,851 and 30,537.44 is: 42,143.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,686.32 : 76,851 = 30,537.44 : x
  2. Step 2: Convert to fraction form
    55,686.32/76,851 = 30,537.44/x
  3. Step 3: Cross multiply
    55,686.32x = 76,851 × 30,537.44
  4. Step 4: Simplify right side
    55,686.32x = 2,346,832,801.44
  5. Step 5: Solve for x
    x = 2,346,832,801.44/55,686.32
  6. Step 6: Final answer
    x = 42,143.79

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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.