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Finding the Fourth Proportional to 69,706.85, 104,419.94 and 32,215.29

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Solution

The fourth proportional to 69,706.85, 104,419.94 and 32,215.29 is: 48,258.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,706.85 : 104,419.94 = 32,215.29 : x
  2. Step 2: Convert to fraction form
    69,706.85/104,419.94 = 32,215.29/x
  3. Step 3: Cross multiply
    69,706.85x = 104,419.94 × 32,215.29
  4. Step 4: Simplify right side
    69,706.85x = 3,363,918,096.23
  5. Step 5: Solve for x
    x = 3,363,918,096.23/69,706.85
  6. Step 6: Final answer
    x = 48,258.07

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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.