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Finding the Fourth Proportional to 68,564.60, 102,854.10 and 21,806.60

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Solution

The fourth proportional to 68,564.60, 102,854.10 and 21,806.60 is: 32,712.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,564.60 : 102,854.10 = 21,806.60 : x
  2. Step 2: Convert to fraction form
    68,564.60/102,854.10 = 21,806.60/x
  3. Step 3: Cross multiply
    68,564.60x = 102,854.10 × 21,806.60
  4. Step 4: Simplify right side
    68,564.60x = 2,242,898,217.06
  5. Step 5: Solve for x
    x = 2,242,898,217.06/68,564.60
  6. Step 6: Final answer
    x = 32,712.19

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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.