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Finding the Fourth Proportional to 83,210.76, 124,816.12 and 27,806.76

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Solution

The fourth proportional to 83,210.76, 124,816.12 and 27,806.76 is: 41,710.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,210.76 : 124,816.12 = 27,806.76 : x
  2. Step 2: Convert to fraction form
    83,210.76/124,816.12 = 27,806.76/x
  3. Step 3: Cross multiply
    83,210.76x = 124,816.12 × 27,806.76
  4. Step 4: Simplify right side
    83,210.76x = 3,470,731,892.97
  5. Step 5: Solve for x
    x = 3,470,731,892.97/83,210.76
  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.