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Finding the Fourth Proportional to 91,382.80, 137,074.20 and 52,016.80

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Solution

The fourth proportional to 91,382.80, 137,074.20 and 52,016.80 is: 78,025.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,382.80 : 137,074.20 = 52,016.80 : x
  2. Step 2: Convert to fraction form
    91,382.80/137,074.20 = 52,016.80/x
  3. Step 3: Cross multiply
    91,382.80x = 137,074.20 × 52,016.80
  4. Step 4: Simplify right side
    91,382.80x = 7,130,161,246.56
  5. Step 5: Solve for x
    x = 7,130,161,246.56/91,382.80
  6. Step 6: Final answer
    x = 78,025.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.