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Finding the Fourth Proportional to 83,207.50, 124,811.26 and 27,803.50

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Solution

The fourth proportional to 83,207.50, 124,811.26 and 27,803.50 is: 41,705.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,207.50 : 124,811.26 = 27,803.50 : x
  2. Step 2: Convert to fraction form
    83,207.50/124,811.26 = 27,803.50/x
  3. Step 3: Cross multiply
    83,207.50x = 124,811.26 × 27,803.50
  4. Step 4: Simplify right side
    83,207.50x = 3,470,189,867.41
  5. Step 5: Solve for x
    x = 3,470,189,867.41/83,207.50
  6. Step 6: Final answer
    x = 41,705.25

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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.