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Finding the Fourth Proportional to 48,122.16, 72,194.16 and 21,834.42

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Solution

The fourth proportional to 48,122.16, 72,194.16 and 21,834.42 is: 32,756.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,122.16 : 72,194.16 = 21,834.42 : x
  2. Step 2: Convert to fraction form
    48,122.16/72,194.16 = 21,834.42/x
  3. Step 3: Cross multiply
    48,122.16x = 72,194.16 × 21,834.42
  4. Step 4: Simplify right side
    48,122.16x = 1,576,317,610.99
  5. Step 5: Solve for x
    x = 1,576,317,610.99/48,122.16
  6. Step 6: Final answer
    x = 32,756.58

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1.5x scale

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.