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Finding the Fourth Proportional to 91,109.56, 125,732.14 and 50,827

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Solution

The fourth proportional to 91,109.56, 125,732.14 and 50,827 is: 70,141.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,109.56 : 125,732.14 = 50,827 : x
  2. Step 2: Convert to fraction form
    91,109.56/125,732.14 = 50,827/x
  3. Step 3: Cross multiply
    91,109.56x = 125,732.14 × 50,827
  4. Step 4: Simplify right side
    91,109.56x = 6,390,587,479.78
  5. Step 5: Solve for x
    x = 6,390,587,479.78/91,109.56
  6. Step 6: Final answer
    x = 70,141.79

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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.