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Finding the Fourth Proportional to 106,751.70, 160,124.98 and 34,704.51

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Solution

The fourth proportional to 106,751.70, 160,124.98 and 34,704.51 is: 52,055.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,751.70 : 160,124.98 = 34,704.51 : x
  2. Step 2: Convert to fraction form
    106,751.70/160,124.98 = 34,704.51/x
  3. Step 3: Cross multiply
    106,751.70x = 160,124.98 × 34,704.51
  4. Step 4: Simplify right side
    106,751.70x = 5,557,059,613.51
  5. Step 5: Solve for x
    x = 5,557,059,613.51/106,751.70
  6. Step 6: Final answer
    x = 52,055.94

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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.