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Finding the Fourth Proportional to 85,340.64, 117,769.23 and 47,100.54

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Solution

The fourth proportional to 85,340.64, 117,769.23 and 47,100.54 is: 64,998.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,340.64 : 117,769.23 = 47,100.54 : x
  2. Step 2: Convert to fraction form
    85,340.64/117,769.23 = 47,100.54/x
  3. Step 3: Cross multiply
    85,340.64x = 117,769.23 × 47,100.54
  4. Step 4: Simplify right side
    85,340.64x = 5,546,994,328.38
  5. Step 5: Solve for x
    x = 5,546,994,328.38/85,340.64
  6. Step 6: Final answer
    x = 64,998.27

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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.