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Finding the Fourth Proportional to 68,564.16, 102,859.20 and 21,830.40

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Solution

The fourth proportional to 68,564.16, 102,859.20 and 21,830.40 is: 32,749.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,564.16 : 102,859.20 = 21,830.40 : x
  2. Step 2: Convert to fraction form
    68,564.16/102,859.20 = 21,830.40/x
  3. Step 3: Cross multiply
    68,564.16x = 102,859.20 × 21,830.40
  4. Step 4: Simplify right side
    68,564.16x = 2,245,457,479.68
  5. Step 5: Solve for x
    x = 2,245,457,479.68/68,564.16
  6. Step 6: Final answer
    x = 32,749.73

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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.