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Finding the Fourth Proportional to 84,825, 117,063.36 and 47,101.68

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Solution

The fourth proportional to 84,825, 117,063.36 and 47,101.68 is: 65,003.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,825 : 117,063.36 = 47,101.68 : x
  2. Step 2: Convert to fraction form
    84,825/117,063.36 = 47,101.68/x
  3. Step 3: Cross multiply
    84,825x = 117,063.36 × 47,101.68
  4. Step 4: Simplify right side
    84,825x = 5,513,880,922.44
  5. Step 5: Solve for x
    x = 5,513,880,922.44/84,825
  6. Step 6: Final answer
    x = 65,003.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.