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Finding the Fourth Proportional to 113,902.96, 170,868.12 and 47,388.10

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Solution

The fourth proportional to 113,902.96, 170,868.12 and 47,388.10 is: 71,087.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,902.96 : 170,868.12 = 47,388.10 : x
  2. Step 2: Convert to fraction form
    113,902.96/170,868.12 = 47,388.10/x
  3. Step 3: Cross multiply
    113,902.96x = 170,868.12 × 47,388.10
  4. Step 4: Simplify right side
    113,902.96x = 8,097,115,557.37
  5. Step 5: Solve for x
    x = 8,097,115,557.37/113,902.96
  6. Step 6: Final answer
    x = 71,087.84

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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.