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Finding the Fourth Proportional to 27,802.84, 41,708.36 and 8,078.84

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Solution

The fourth proportional to 27,802.84, 41,708.36 and 8,078.84 is: 12,119.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,802.84 : 41,708.36 = 8,078.84 : x
  2. Step 2: Convert to fraction form
    27,802.84/41,708.36 = 8,078.84/x
  3. Step 3: Cross multiply
    27,802.84x = 41,708.36 × 8,078.84
  4. Step 4: Simplify right side
    27,802.84x = 336,955,167.10
  5. Step 5: Solve for x
    x = 336,955,167.10/27,802.84
  6. Step 6: Final answer
    x = 12,119.45

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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.