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Finding the Fourth Proportional to 106,704, 160,064.24 and 31,818.44

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Solution

The fourth proportional to 106,704, 160,064.24 and 31,818.44 is: 47,730.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,704 : 160,064.24 = 31,818.44 : x
  2. Step 2: Convert to fraction form
    106,704/160,064.24 = 31,818.44/x
  3. Step 3: Cross multiply
    106,704x = 160,064.24 × 31,818.44
  4. Step 4: Simplify right side
    106,704x = 5,092,994,416.59
  5. Step 5: Solve for x
    x = 5,092,994,416.59/106,704
  6. Step 6: Final answer
    x = 47,730.12

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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.