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Finding the Fourth Proportional to 83,212.14, 124,818.21 and 27,808.14

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Solution

The fourth proportional to 83,212.14, 124,818.21 and 27,808.14 is: 41,712.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,212.14 : 124,818.21 = 27,808.14 : x
  2. Step 2: Convert to fraction form
    83,212.14/124,818.21 = 27,808.14/x
  3. Step 3: Cross multiply
    83,212.14x = 124,818.21 × 27,808.14
  4. Step 4: Simplify right side
    83,212.14x = 3,470,962,258.23
  5. Step 5: Solve for x
    x = 3,470,962,258.23/83,212.14
  6. Step 6: Final answer
    x = 41,712.21

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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.