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Finding the Fourth Proportional to 83,225.96, 124,813.02 and 27,809

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Solution

The fourth proportional to 83,225.96, 124,813.02 and 27,809 is: 41,704.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,225.96 : 124,813.02 = 27,809 : x
  2. Step 2: Convert to fraction form
    83,225.96/124,813.02 = 27,809/x
  3. Step 3: Cross multiply
    83,225.96x = 124,813.02 × 27,809
  4. Step 4: Simplify right side
    83,225.96x = 3,470,925,273.18
  5. Step 5: Solve for x
    x = 3,470,925,273.18/83,225.96
  6. Step 6: Final answer
    x = 41,704.84

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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.