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Finding the Fourth Proportional to 55,642.63, 76,786.83 and 30,491.59

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Solution

The fourth proportional to 55,642.63, 76,786.83 and 30,491.59 is: 42,078.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,642.63 : 76,786.83 = 30,491.59 : x
  2. Step 2: Convert to fraction form
    55,642.63/76,786.83 = 30,491.59/x
  3. Step 3: Cross multiply
    55,642.63x = 76,786.83 × 30,491.59
  4. Step 4: Simplify right side
    55,642.63x = 2,341,352,537.76
  5. Step 5: Solve for x
    x = 2,341,352,537.76/55,642.63
  6. Step 6: Final answer
    x = 42,078.39

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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.