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Finding the Fourth Proportional to 83,210.75, 124,816.13 and 27,806.75

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Solution

The fourth proportional to 83,210.75, 124,816.13 and 27,806.75 is: 41,710.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,210.75 : 124,816.13 = 27,806.75 : x
  2. Step 2: Convert to fraction form
    83,210.75/124,816.13 = 27,806.75/x
  3. Step 3: Cross multiply
    83,210.75x = 124,816.13 × 27,806.75
  4. Step 4: Simplify right side
    83,210.75x = 3,470,730,922.88
  5. Step 5: Solve for x
    x = 3,470,730,922.88/83,210.75
  6. Step 6: Final answer
    x = 41,710.13

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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.