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Finding the Fourth Proportional to 84,794.50, 127,194.18 and 22,465

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Solution

The fourth proportional to 84,794.50, 127,194.18 and 22,465 is: 33,698.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,794.50 : 127,194.18 = 22,465 : x
  2. Step 2: Convert to fraction form
    84,794.50/127,194.18 = 22,465/x
  3. Step 3: Cross multiply
    84,794.50x = 127,194.18 × 22,465
  4. Step 4: Simplify right side
    84,794.50x = 2,857,417,253.70
  5. Step 5: Solve for x
    x = 2,857,417,253.70/84,794.50
  6. Step 6: Final answer
    x = 33,698.14

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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.