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Finding the Fourth Proportional to 91,972.50, 137,834.01 and 41,990.64

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Solution

The fourth proportional to 91,972.50, 137,834.01 and 41,990.64 is: 62,929.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,972.50 : 137,834.01 = 41,990.64 : x
  2. Step 2: Convert to fraction form
    91,972.50/137,834.01 = 41,990.64/x
  3. Step 3: Cross multiply
    91,972.50x = 137,834.01 × 41,990.64
  4. Step 4: Simplify right side
    91,972.50x = 5,787,738,293.67
  5. Step 5: Solve for x
    x = 5,787,738,293.67/91,972.50
  6. Step 6: Final answer
    x = 62,929.01

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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.