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Finding the Fourth Proportional to 55,178.56, 76,141.14 and 30,973.98

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Solution

The fourth proportional to 55,178.56, 76,141.14 and 30,973.98 is: 42,741.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,178.56 : 76,141.14 = 30,973.98 : x
  2. Step 2: Convert to fraction form
    55,178.56/76,141.14 = 30,973.98/x
  3. Step 3: Cross multiply
    55,178.56x = 76,141.14 × 30,973.98
  4. Step 4: Simplify right side
    55,178.56x = 2,358,394,147.54
  5. Step 5: Solve for x
    x = 2,358,394,147.54/55,178.56
  6. Step 6: Final answer
    x = 42,741.13

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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.