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Finding the Fourth Proportional to 82,920.12, 114,426.72 and 45,193.56

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Solution

The fourth proportional to 82,920.12, 114,426.72 and 45,193.56 is: 62,365.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,920.12 : 114,426.72 = 45,193.56 : x
  2. Step 2: Convert to fraction form
    82,920.12/114,426.72 = 45,193.56/x
  3. Step 3: Cross multiply
    82,920.12x = 114,426.72 × 45,193.56
  4. Step 4: Simplify right side
    82,920.12x = 5,171,350,835.92
  5. Step 5: Solve for x
    x = 5,171,350,835.92/82,920.12
  6. Step 6: Final answer
    x = 62,365.45

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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.