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Finding the Fourth Proportional to 106,816.52, 160,223.37 and 31,937.29

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Solution

The fourth proportional to 106,816.52, 160,223.37 and 31,937.29 is: 47,905.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,816.52 : 160,223.37 = 31,937.29 : x
  2. Step 2: Convert to fraction form
    106,816.52/160,223.37 = 31,937.29/x
  3. Step 3: Cross multiply
    106,816.52x = 160,223.37 × 31,937.29
  4. Step 4: Simplify right side
    106,816.52x = 5,117,099,712.14
  5. Step 5: Solve for x
    x = 5,117,099,712.14/106,816.52
  6. Step 6: Final answer
    x = 47,905.51

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1.5x scale

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.