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Finding the Fourth Proportional to 113,957.62, 170,884.45 and 47,358.07

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Solution

The fourth proportional to 113,957.62, 170,884.45 and 47,358.07 is: 71,015.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,957.62 : 170,884.45 = 47,358.07 : x
  2. Step 2: Convert to fraction form
    113,957.62/170,884.45 = 47,358.07/x
  3. Step 3: Cross multiply
    113,957.62x = 170,884.45 × 47,358.07
  4. Step 4: Simplify right side
    113,957.62x = 8,092,757,745.01
  5. Step 5: Solve for x
    x = 8,092,757,745.01/113,957.62
  6. Step 6: Final answer
    x = 71,015.50

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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.